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  3. On a generalization of Bessel functions, Comm. Pure Appl. Math., 18 (1965), pp. 393-399.
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  22. Clebsch-Gordan coefficients and special function identities, I. The Harmonic oscillator group, J. Math. Phys. 13 (1972), pp. 648-655. PDF
  23. Clebsch-Gordan coefficients and special function identities, II. The rotation and Lorentz groups, J. Math. Phys. 13 (1972), pp. 827-833. PDF
  24. Lie theory and generalized hypergeometric functions, SIAM J. Math. Anal. 3 (1972), pp. 31-44. PDF
  25. Symmetries of differential equations. The hypergeometric and Euler-Darboux equations, SIAM J. Math. Anal. 4 (1973), pp. 314-328. PDF
  26. Lie theory and the Appell function F1 , SIAM J. Math. Anal. 4 (1973), pp. 638-655. PDF
  27. Lie theory and the Lauricella functions FD , J. Math. Phys. 13 (1972), pp. 1393-1399. PDF
  28. Lie theory and generalizations of the hypergeometric functions, SIAM J. Appl. Math. 25 (1973), pp. 226-235.
  29. Lie algebras and generalizations of the hypergeometric function, Proceedings of the AMS Summer Institute (1972), Harmonic Analysis on homogeneous spaces. Proceedings of Symposia in Pure Mathematics, Vol. XXVI, AMS, Providence, R.I., 1973. PDF
  30. Lie theory and Meijer's G-function, SIAM J. Math. Anal. 5 (1974), pp. 309-318. PDF
  31. Lie theory and separation of variables. I. Parabolic cylinder coordinates, SIAM J. Math. Anal. 5 (1974), pp. 626-643. PDF
  32. Lie theory and separation of variables. II. Parabolic coordinates, SIAM J. Math. Anal. 5 (l974), pp. 822-836. PDF
  33. Lie theory and separation of variables. III. The equation Ftt-Fss=k2F, with E. G. Kalnins. J. Math. Phys. l5 (1974), pp. 1025-1032, Erratum, 16 (1975), p. 1531. PDF
  34. Lie theory and separation of variables. IV. The groups SO(2,1) and SO(3) , with E.G. Kalnins. J. Math. Phys. 15 (1974), pp. 1263-74. PDF
  35. Complete sets of commuting operators and O(3) scalars in the enveloping algebra of SU(3) , with B. Judd, J. Patera and P. Winternitz. J. Math. Phys. 15 (1974), pp. 1787-1799. PDF
  36. Lie theory and separation of variables. V. The equations iUt + Uxx = 0 and iUt + Uxx - (c/x2)U = 0, with E.G. Kalnins. J. Math. Phys. 15 (1974), pp. 1728-1737. PDF
  37. Lie theory and separation of variables. VI. The equation iUt +Uxx+ Uyy = 0, with C.P. Boyer and E.G. Kalnins. J. Math. Phys. 16 (1975), pp. 499-511.
  38. A classification of second order raising operators for Hamiltonians in two variables, with C.P. Boyer, J. Math. Phys. 15 (1974), pp. 1484-1489. PDF
  39. Symmetry and separation of variables for the heat equation, with E.G. Kalnins. Proceedings of Conference on Symmetry, Similarity and Group-Theoretic Methods in Mechanics, Calgary, 1974.
  40. The group O(4) , separation of variables and the hydrogen atom, with E.G. Kalnins and P. Winternitz, SIAM J. Appl. Math. 30 (1976), pp. 630-664.
  41. Lie theory and separation of variables. VII. The Harmonic oscillator in elliptic coordinates and Ince polynomials, with C.P. Boyer and E.G. Kalnins. J. Math. Phys. 16 (1975), pp. 512-517.
  42. Lie theory and separation of variables. VIII. Semi-subgroup coordinates for Ott - \Delta2 O= 0, with E.G. Kalnins, J. Math. Phys. 16 (1975), pp. 2507-2516.
  43. Lie theory and separation of variables IX. Orthogonal R-separable coordinate systems for the wave equation \Psitt - \Delta2\Psi = 0, with E.G. Kalnins, J. Math. Phys., 17 (1976), pp. 331-355.
  44. Lie theory and separation of variables. X. Nonorthogonal R-separable solutions of the wave equation Ott= \Delta2O , with E.G. Kalnins, J. Math. Phys. 17 (1976), pp. 356-368.
  45. Lie theory and separation of variables. XI. The Euler-Poisson-Darboux equation, with E.G. Kalnins, J. Math. Phys. 17 (1976), pp. 369-377.
  46. Symmetry and Separation of Variables, Addison-Wesley, Reading, Mass. (1977).
  47. Symmetry, separation of variables and special functions, in Theory and Application of Special Functions, R. Askey, ed., Proceedings of an Advanced Seminar conducted from March 31-April 2, 1975, Academic Press, New York, 1975.
  48. Symmetry and separation of variables for the Helmholtz and Laplace equations, with C.P. Boyer and E.G. Kalnins, Nagoya Math. J. 60 (1976), pp. 35-80. PDF
  49. Lie Theory and Special Functions, (translation of publication 8 into Japanese, A. Orihara, translator) Sangyo Tosho Publishing Company, Tokyo.
  50. Lie theory and the wave equation in space time. 1. The Lorentz group, with E.G. Kalnins, J. Math. Phys. 18 (1977), pp. 1-16.
  51. Lie theory and the wave equation in space time. 2. The group SO(4,C), with E.G. Kalnins, SIAM J. Math. Anal. 9 (1978), pp. 12-33. PDF
  52. Lie theory and the wave equation in space time. 3. Semisubgroup coordinates, with E.G. Kalnins, J. Math. Phys. 18 (1977), pp. 271-280.
  53. Lie theory and the wave equation in space time. 4. The Klein-Gordan equation, with E.G. Kalnins, J. Math. Phys. 19 (1978), pp. 1233-1246.
  54. Lie theory and the wave equation in space time. 5. Orthogonal coordinates, with E.G. Kalnins, J. Math. Phys. 19 (1978), pp. 1247-1257.
  55. Symmetry and separation of variables for linear differential and Hamilton-Jacobi equations, in Group Theoretical Methods in Physics, Proceedings of Symposium on Group Theoretic Methods in Physics, Montreal, 1976, Academic Press, New York 1977.
  56. A relationship between Lie theory and continued fraction expansions for special functions, with C.P. Boyer, in Pad'e and Rational Approximation, Academic Press, New York, 1977.
  57. Separable coordinates for three-dimensional complex Riemannian spaces, with E.G. Kalnins, J. Diff. Geometry, 14 (1979), pp. 221-236.
  58. Symmetry and separation of variables for the Hamilton-Jacobi equation (Wt)2 - (Wx)2- (Wy)2 = 0, with C.P. Boyer and E.G. Kalnins, J. Math. Phys. 19 (1978), pp. 200-211.
  59. R-separable coordinates for three-dimensional complex Riemannian spaces, with C.P. Boyer and E.G. Kalnins, T.A.M.S. 242 (1978), pp. 355-376.
  60. The wave equation, O(2,2) , and separation of variables on hyperboloids, with E.G. Kalnins, Proceedings of the Royal Society of Edinburgh 79A (1977), pp. 227-256. PDF
  61. R-separation of variables for the four-dimensional flat space Laplace and Hamilton-Jacobi equation, with E.G. Kalnins, T.A.M.S. 244 (1979), pp. 241-261.
  62. The wave equation and separation of variables on the complex sphere S4, with E.G. Kalnins, J. Math. Anal. Appl. 83 (1981) 449-469. PDF
  63. Separable coordinates for four-dimensional Riemannian spaces, with C.P. Boyer and E.G. Kalnins, Commun. Math. Phys. 59 (l978), pp. 285-302. PDF
  64. Nonorthogonal separable coordinate systems for the flat 4-space Helmholtz equation, with E.G. Kalnins, J. Phys. A: Math. Gen. 12 (1979), pp. 1129-1147.
  65. Symmetry and variable separation for the Helmholtz, wave and Hamilton-Jacobi equations, Proceedings of 1979 Einstein Symposium: Symmetry in Physics, Southern Illinois University, in Symmetries in Science, B. Gruber and R.S. Millman, Ed., Plenum, New York, 1980.
  66. Nonorthogonal R-separable coordinates for four dimensional complex Riemannian spaces, with E.G. Kalnins, J. Math. Phys. 22 (1981) pp. 42-50.
  67. The Lie theory of two-variable hypergeometric functions, with H.L. Manocha and E.G. Kalnins, Studies in Applied Mathematics, 62 (l980), pp. 143-173. PDF
  68. Transformation and reduction formulas for two-variable hypergeometric functions on the sphere S2, with H.L. Manocha and E.G. Kalnins, Studies in Applied Mathematics, 63 (l980), pp. 155-167. PDF
  69. Harmonic analysis and expansion formulas for two-variable hypergeometric functions, with H.L. Manocha and E.G. Kalnins, Studies in Applied Mathematics 66 (1982), pp. 69-89. PDF
  70. Subgroups of Lie groups and separation of variables, with J. Patera and P. Winternitz, J. Math. Phys. 22 (1981), pp. 251-260.
  71. Killing tensors and variable separation for Hamilton-Jacobi and Helmholtz equations, with E.G. Kalnins, SIAM J. Math. Anal. 11 (1980), pp. 1011-1026. PDF
  72. Killing tensors and nonorthogonal variable separation for the Hamilton-Jacobi equation, with E.G. Kalnins, SIAM J. Math. Anal. 12 (1981), pp. 617- 638. PDF
  73. Conformal Killing tensors and variable separation for the Hamilton-Jacobi equation, with E.G. Kalnins, SIAM J. Math. Anal.,14 (1983), pp. 126-137. PDF
  74. Killing tensors and variable separation for Hamilton-Jacobi equations, Proceedings of Symposium on Group Theoretic Methods in Physics, Cocoyoc, Mexico, June, 1980, Springer-Verlag, 1982.
  75. Separation of variables in Einstein spaces I. Two ignorable and one null coordinate, with C.P. Boyer and E.G. Kalnins, J. Phys. A: Math Gen. 14 (1981), pp. 1675-1684.
  76. Some remarkable R-separable coordinate systems for the Helmholtz equation, with E.G. Kalnins, Letters in Math. Phys. 4 (1980), pp. 469-474.
  77. The general theory of R-separation for Helmholtz equations, with E.G. Kalnins, J. Math. Phys. 24 (1983), pp. 1047-1053.
  78. Nonpolynomial constants of the motion and partial separation of the Hamilton-Jacobi equation, with E.G. Kalnins, Applicable Analysis 13 (1982) pp. 127-137.
  79. Intrinsic characterization of orthogonal R-separation for Laplace equations, with E.G. Kalnins, J. Phys. A. Math. Gen. 15 (1982), pp. 2699-2709. PDF
  80. Intrinsic characterization of orthogonal separation of one coordinate in the Hamilton-Jacobi equation, with E.G. Kalnins, J. Phys. A: Math. Gen. 15 (1982), pp. 2003-2011.
  81. Symmetry Groups and Their Applications, (translation of publication 21 into Chinese, Luan Dehai translator) 1981.
  82. Symmetry and Separation of Variables, (translation of publication 46 into Russian) 1981.
  83. Intrinsic characterization of variable separation for Hamilton-Jacobi and Helmholtz equations, Proceedings of International Symposium on Algebra and its Applications, New Delhi, 1981, Algebra and its Applications, Lecture Notes in Pure and Applied Mathematics, Vol. 91, Dekker, New York 1984.
  84. Intrinsic characterization of variable separation for the partial differential equations of mechanics, with E.G. Kalnins, Proceedings of Symposium on Modern Developments in Analytical Mechanics, Torino, 1982, Acta Academiae Scientiarum Taurinensis, Torino 1983. PDF
  85. The technique of variable separation for partial differential equations, Proceedings of School and Workshop on Nonlinear Phenomena, Oaxtepec, Mexico, November 29- December 17, 1982, Lecture Notes in Physics, Vol. 189, pp. 184-208, Springer-Verlag, New York 1983.
  86. The theory of orthogonal R-separation for Helmholtz equations, with E.G. Kalnins, Advances in Mathematics, 51 (1984), pp. 91-106. PDF
  87. Separation of variables on n-dimensional Riemannian manifolds 1. The n-sphere Sn and Euclidean n-space Rn, with E.G. Kalnins, J. Math. Phys., 27 (1986), pp. 1721-1736.
  88. Separation of variables on n-dimensional Riemannian manifolds 2. The n-dimensional hyperboloid Hn, with E.G. Kalnins, University of Waikato Research Report 103. (The contents of this paper were published in the book by E. G. Kalnins, Separation of Variables for Riemannian Spaces of Constant Curvature, Pitman, Monographs and Surveys in Pure and Applied Mathematics, Longman, Essex, England 1986.)
  89. Separation of variables on n-dimensional Riemannian manifolds 3. Conformally Euclidean spaces Cn, with E.G. Kalnins, University of Waikato Research Report 105. (The contents of this paper were published in the book by E. G. Kalnins, Separation of Variables for Riemannian Spaces of Constant Curvature, Pitman, Monographs and Surveys in Pure and Applied Mathematics, Longman, Essex, England 1986.)
  90. Related evolution equations and Lie symmetries, with E.G. Kalnins. SIAM J. Math. Anal., 16 (1985), pp. 221-232. PDF
  91. Stäckel - equivalent integrable Hamiltonian systems, with C.P. Boyer and E.G. Kalnins. SIAM J. Math. Anal., 17 (1986), pp. 778-797. PDF
  92. Separation of variables for complex Riemannian spaces of constant curvature. I. Orthogonal separable coordinates for Snc and Enc, with E.G. Kalnins and G.J. Reid, Proc. R. Soc. Lond. A 394 (1984), pp. 183-206.
  93. Differential-Stäckel matrices, with E.G. Kalnins, J. Math. Phys., 26 (1985), pp. 1560-1565.
  94. Generalized Stäckel matrices, with E.G. Kalnins, J. Math. Phys., 26 (1985), pp. 2168-2173.
  95. R-separation of variables for the time-dependent Hamilton-Jacobi and Schrödinger equations, with E.G. Kalnins, J.Math. Phys., 28 (1987), pp. 1005-1015.
  96. Matrix operator symmetries of the Dirac equation and separation of variables, with E.G. Kalnins and G.C. Williams, J. Math. Phys. 27 (1986), pp. 1893-1900.
  97. Canonical equations and symmetry techniques for q-series, with A.J. Agarwal and E.G. Kalnins, SIAM J. Math Anal., 18 (1987), pp. 1519-1538. PDF
  98. Nonorthogonal separable coordinates for Sn and En, with E.G. Kalnins, University of Waikato Research Report.
  99. Equivalence classes of related evolution equations and Lie symmetries, with E.G. Kalnins, J. Phys. A: Math. Gen., 20 (1987), pp. 5435-5446.
  100. Electromagnetic waves in Kerr geometry, with E.G. Kalnins, Proc. R. Soc. Lond. A 408 (1986), pp. 23-30.
  101. Symmetry techniques for q-series: Askey-Wilson polynomials, with E.G. Kalnins, Rocky Mountain Mathematics Journal 19 (1989), pp. 223-230. PDF
  102. A note on Wilson polynomials, SIAM J. Math. Anal., 18 (1987), pp. 1221-1226. PDF
  103. q-series and orthogonal polynomials associated with Barnes' first lemma, with E.G. Kalnins, SIAM J. Math. Anal. 19 (1988), pp. 1216-1231. PostScript
  104. Mechanisms for variable separation in partial differential equations and their relationship to group theory, Proceedings of School on Symmetry and Nonlinear Phenomena, Paipa, Colombia, February 22-26, 1988, pp. 188-221, in Symmetries and Nonlinear Phenomena, D. Levi and P. Winternitz, eds., World Scientific, London, 1989. Postscript file
  105. Separation of variables methods for systems of differential equations in mathematical physics, with E. G. Kalnins, in the volume "Lie Theory, Differential Equations and Representation Theory", V. Hussin, ed., CRM, Montreal 1990. Postscript file
  106. Conformal symmetries and generalized recurrences for heat and Schrödinger equations in one spatial dimension, with E.G. Kalnins and R.D. Levine, pp. 237-256, in the volume "Mechanics, Analysis and Geometry: 200 years after Lagrange", M. M. Francaviglia, ed., North Holland, Amsterdam 1991. PostScript
  107. Symmetry techniques and orthogonality for q-series, in q-Series and Partitions, D. Stanton, ed., IMA Volumes in Mathematics and its Applications, Vol. 18, Springer-Verlag, New York, 1989. Postscript file
  108. Killing Yano tensors and variable separation in Kerr geometry, with E.G. Kalnins and G.C. Williams, J. Math Phys. 30 (1989), pp. 2360-2365.
  109. Teukolsky-Starobinsky identities for arbitrary spin, with E.G. Kalnins and G.C. Williams, J. Math. Phys. 30 (1989), pp. 2925-2929. PostScript
  110. Families of orthogonal and biorthogonal polynomials on the n-sphere, with E.G. Kalnins and M. Tratnik, SIAM J. Math. Anal. 22, (1991) pp. 272-294. PostScript
  111. Complete sets of functions for perturbations of Robertson Walker cosmologies, with E.G. Kalnins, J. Math. Phys. 32, (1991), pp. 698-707.
  112. Topics in harmonic analysis with applications to RADAR and SONAR, in RADAR and SONAR, Part I, by R. Blahut, W. Miller and C. Wilcox, IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York, 1991. PDFPostScript
  113. Hypergeometric expansions of Heun polynomials, with E.G. Kalnins, SIAM J. Math. Anal. 22, (1991) pp. 1450-1459. PostScript
  114. Orthogonal polynomials on n-spheres: Gegenbauer, Jacobi and Heun, with E.G. Kalnins, in Topics in Polynomials of One and Several Variables and their Applications: A Legacy of P.L. Chebyshev (1821-1894), H.M. Srivastava, T.M. Rassias and A. Yanushauskas, eds., World Scientific, Singapore, 1991. PostScript
  115. A note on group contractions and radar ambiguity functions, with E.G. Kalnins, in RADAR and SONAR, Part II, M. Bernfeld, R. Blahut and A. Grunbaum, eds., IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York, 1992. PostScript
  116. Series solutions for the Dirac equation in Kerr Newman space time, with E.G. Kalnins, J. Math. Phys. 32, (1991), pp. 1415-1423. PostScript
  117. Models of q-algebra representations: Tensor products of special unitary and oscillator algebras, with E.G. Kalnins and H.L. Manocha, J. Math. Phys. 33, (1992), pp. 2365-2383. PostScript
  118. Separable coordinates, integrability and the Niven equations, with E.G. Kalnins, J. Phys. A: Math. Gen. 25, (1992), pp. 5663-5675. PostScript
  119. Models of q-algebra representations: The group of plane motions, with E.G. Kalnins and Sanchita Mukherjee, SIAM J. Math. Anal. 25, (1994), pp. 513-527. PostScript
  120. Recent advances in the use of separation of variables methods in general relativity,with E.G. Kalnins and G.C. Williams, Phil. Trans. R. Soc. Lond. A 340, (1992), pp. 337-352. PostScript
  121. Recent advances in the use of separation of variables methods in general relativity, with E.G. Kalnins and G.C. Williams, in the book "Classical General Relativity", S. Chandrasekhar, Editor, Oxford University Press 1993, pp. 1-16. PostScript
  122. Models of q-algebra representations: Matrix elements of Uq(su2), with E.G. Kalnins and Sanchita Mukherjee, in "Lie algebras, cohomology and new applications to quantum mechanics", a volume in the Contemporary Mathematics Series, American Mathematical Society, Providence RI 1994. PostScript
  123. Models of q-algebra representations: Matrix elements of the q-oscillator algebra, with E.G. Kalnins and Sanchita Mukherjee, J. Math. Phys. 43, (1993), pp. 5333-5356. PostScript
  124. Functional separation of variables for Laplace equations in two dimensions, with Lee Rubel, J. Phys. A: Math. Gen. 26, (1993) pp. 1901-1913. PostScript
  125. Quadrics on complex Riemannian spaces of constant curvature, separation of variables and the Gaudin magnet, with E.G. Kalnins and V.B. Kuznetsov, J. Math. Phys. 35, (1994), 1710-31. PostScript
  126. Models of q-algebra representations: q-integral transforms and ``addition theorems'', with E.G. Kalnins, J. Math. Phys. 35, (1994), 1951-75. PostScript
  127. Intrinsic characterization of the separation constant for spin 1 and gravitational perturbations in Kerr geometry, with E.G. Kalnins, and G.C. Williams, Trans. R. Soc. Lond. A439. (1996), 997. PostScript
  128. q-algebra representations of the Euclidean, pseudo-Euclidean and oscillator algebras, and their tensor products, with E.G. Kalnins, in "Symmetries and Integrability of Difference Equations", Decio Levi editor, CRM Proc. Lect. Notes, American Mathematical Society, Providence, RI 1996. PDFPostScript
  129. Separation of variables and the XXZ Gaudin magnet, with E.G. Kalnins and V.B. Kuznetsov, Rendiconti Seminario Matematico dell'Universita' e del Politecnico di Torino, Volume 53, no. 2 (1995), 109-120. PostScript
  130. A note on tensor products of q-algebra representations and orthogonal polynomials, with E.G. Kalnins, Journal of Computational and Applied Mathematics, 68 (1996) 197-207. PDF Postscript
  131. Integrability, Stäckel spaces and rational potentials, with E.G. Kalnins and S. Benenti, J. Math. Phys., 38, (1997) 2345-2365. PostScript
  132. Superintegrability and associated polynomial solutions. Euclidean space and the sphere in two dimensions, with E.G. Kalnins and G.S. Pogosyan, J. Math. Phys., 37, 6439 (1996). PostScript
  133. Superintegrability on the two dimensional hyperboloid, with E.G. Kalnins and G.S. Pogosyan, J. Math. Phys., 38, 5416--5433 (1997) PDF
  134. Tensor products of q-superalgebras and q-series identities. I , with Won Sang Chung and E.G. Kalnins, in "Algebraic Methods and $q$-Special Functions", Edited by: Jan Felipe van Diejen and Luc Vinet, CRM Proceedings ; Lecture Notes, 22, American Mathematical Society, 1999. Postscript
  135. The equivalence of SUQ(2) and a quantum deformation of SU(2) in the cartesian basis, with Won Sang Chung and E.G. Kalnins, submitted. PostScript
  136. Tensor products of q-superalgebra representations and q-series identities, with Won Sang Chung and E.G. Kalnins, J. Physics A, 30, 7147--7166, (1997).PostScript
  137. Superintegrability on the two dimensional hyperboloid II, with Ye. M. Hakobyan, E.G. Kalnins and G.S. Pogosyan, J. Math. Phys., 40, 2291--2306 (1999) PDF PostScript
  138. Superintegrability in two dimensional complex Euclidean space, with E.G. Kalnins and G.S. Pogosyan, J.Math. Phys. (to appear). PostScript
  139. Superintegrability in three dimensional Euclidean space, with E.G. Kalnins and G.S. Pogosyan, J. Math. Phys., 40, 708--725, (1999) PDF PostScript
  140. Contractions of Lie algebras and special function identities, with E.G. Kalnins and G.S. Pogosyan, J. Phys. A 32,4709--4732, (1999) PDF PostScript
  141. Separability of wave equations, with E.G. Kalnins and G.C. Williams, 33-51, in ``Black Holes, Gravitational Radiation and the Universe, Essays in honor of C.V. Vishveshwara'', B.R. Iyer and B. Bhawal, eds., Kluwer Academic Publishers, Dordrecht, 1999. PostScript
  142. Superintegrability and Special Functions in Mathematical Physics, with E. G. Kalnins and G.S. Pogosyan, Proceedings of ``III International Workshop on Classical and Quantum Integrable Systems", Yerevan, Armenia, (June 29 --- July 04,1998), (to appear) PostScript
  143. Coulomb-oscillator duality in spaces of constant curvature, with E. G. Kalnins and G. S. Pogosyan, J. Math. Phys. 41, 2629-2657, (2000) PDF Postscript
  144. The Coulomb-oscillator relation on N-dimensional spheres and hyperboloids; with E. G. Kalnins and G. S. Pogosyan, Phys. Atomic Nuclei 65 , no. 6, 1086--1094, (2002) PDF
  145. Completeness of multiseparable superintegrability in E(2,C), with E.G. Kalnins and G.S. Pogosyan, J.Phys.A: Math Gen. 33,4105, (2000) PDF Postscript
  146. Completeness of multiseparable superintegrability on the complex 2-sphere, with E.G. Kalnins and G.S. Pogosyan, J. Physics A: Math. Gen. 33, 6791-6806, (2000) PDF Postscript
  147. Special functions and perturbations of black holes, with E.G. Kalnins, G.F. Torres Del Castillo and G.C. Williams, in ``Special Functions (Hong Kong, 1999), Proceedings of the International Workshop on Special Functions-Asymptotics, Harmonic Analysis and Mathematical Physics (IWSF'99),'' C. Dunkl, M. Ismail and R. Wong (Eds), World Scientific, 140-151. (2000) PDF PostScript
  148. Multiseparabilty and superintegrability for classical and quantum systems, 129-156, in "Integrable Systems: From Classical to Quantum". J. Harnad, G. Sabidussi and P. Winternitz,, eds., CRM Proceedings and lecture Notes, Vol. 26, American Mathematical Society, 2000 PDF Postscript
  149. Integrability and Stäckel spaces, with E.G.Kalnins and S. Benenti, in `` Symmetry methods in physics'', Vol. 1 (Dubna, 1995), 298--305, Joint Inst. Nuclear Res., Dubna, 1996.
  150. q-algebra and q-superalgebra tensor products and identities for special functions, with E.G.Kalnins, VIII International Conference on Symmetry Methods in Physics (Dubna, 1997). Phys. Atomic Nuclei 61 , no. 10, 1659--1665, (1998) PostScript
  151. Completeness of multiseparable superintegrability in two dimensions, with E.G. Kalnins and G.S. Pogosyan, International Conference on Symmetry Methods in Physics (Dubna, 2000), Phys. Atomic Nuclei 65 , no. 6, 1033--1035, (2002) PostScript
  152. Completeness of superintegrability in two-dimensional constant curvature spaces, with E.G. Kalnins, J. Kress and G.S. Pogosyan, J. Phys. A: Math Gen. 34. 4705--4720, (2001) PDF PostScript
  153. On superintegrable symmetry breaking potentials in n-dimensional Euclidean space, with E.G. Kalnins, G.C. Williams,and G.S. Pogosyan, J. Phys. A: Math Gen. 35. 4655--4773, (2002) PDF PostScript
  154. Complete sets of invariants for dynamical systems that admit a separation of variables, with E.G. Kalnins , J.M. Kress and G.Pogosyan , J. Math. Phys. 43, 3592--3609, (2002) PDF PostScript
  155. Superintegrable systems in Darboux spaces, with E.G. Kalnins , J.M. Kress and P. Winternitz , J. Math. Phys. 44, 5811--5848, (2003) PDF PostScript
  156. Infinite order symmetries for two-dimensional separable Schrödinger equations, with E.G. Kalnins and G.S. Pogosyan, Proceedings of Institute of Mathematics,  NAS of Ukraine, 50, Part I,184--195, (2004) PDF
  157. Infinite order symmetries for quantum separable systems, with E.G. Kalnins, J.M. Kress and G.S. Pogosyan, International Conference on Symmetry Methods in Physics (Yerevan, 2003)  Phys. Atomic Nuclei ,  68, num: 10, 1817-1824, 2005, PostScript PDF
  158. Variable separation in mathematical physics: From intuitive concept to mathematical tool, with E.G. Kalnins, Phil. Trans. R. Soc. A. (to appear) PostScript PDF
  159. The Cheshire Cat effect in Lie theory. Lamé and Heun functions. In Proceedings Volume of the XXV International Colloquium on Group Theoretical Methods in Physics, George S. Pogosyan, Luis Edgar Vicent, and Kurt Bernardo Wolf, editors, Institute of Physics/Canopus Press, Bristol UK, 2005 PostScript PDF
  160. Jacobi, ellipsoidal coordinates, and superintegrable systems, with E.G. Kalnins and J.M. Kress, Journal of Nonlinear Mathematical Physics, 12, no. 2, 209--229, (2005) PostScript PDF
  161. Second order superintegrable systems in conformally flat spaces. 1. 2D classical structure theory, with E.G. Kalnins and J.M. Kress , J. Math. Phys., 46, 053509, (2005) PostScript PDF
  162. Second order superintegrable systems in conformally flat spaces. 2. The classical 2D Stäckel transform, with E.G. Kalnins and J.M. Kress, J. Math. Phys., 46, 053510, (2005) PostScript PDF
  163. Complete sets of invariants for classical systems, pp. 125-135, in "Superintegrability in Classical and Quantum Systems". P. Tempesta et al., eds., CRM Proceedings and Lecture Notes, Vol. 37, American Mathematical Society, 2004
  164. Jacobi elliptic coordinates, functions of Heun and Lamé type and the Niven transform, with E.G. Kalnins, Random and Chaotic Dynamics, 10, 487-508 (2005) PostScript PDF
  165. Second order superintegrable systems in conformally flat spaces. 3. 3D classical structure theory, with E.G. Kalnins and J.M. Kress, J. Math. Phys., 46, 103507, (2005) PostScript PDF
  166. Exact and quasi-exact solvability of second order superintegrable quantum systems. I. Euclidean space preliminaries, with E.G. Kalnins and G. S. Pogosyan, J. Math. Phys., 47, 033502, (2006) PostScript PDF
  167. Second order superintegrable systems in three dimensions, SIGMA, Vol. 1 (2005), Paper 015, 17 pages. http://www.emis.de/journals/SIGMA/ PostScript PDF
  168. Classification of superintegrable systems in three dimensions, with E.G. Kalnins and J.M. Kress, in Quantum Theory and Symmetries IV
    ed. V.K. Dobrev, Heron Press, Sofia, (2006) PostScript PDF
  169. Second-order superintegrable quantum systems, with E.G. Kalnins and J.M. Kress, Phys. Atomic Nuclei 70 , no. 3, 576--583, (2007) PostScript
  170. Nondegenerate superintegrable systems in n-dimensional spaces of constant curvature, with E.G. Kalnins and J.M. Kress, Phys. Atomic Nuclei 70 , no. 3, 545--553, (2007) PostScript
  171. Second order superintegrable systems in conformally flat spaces. 4. The classical 3D Stäckel transform and 3D classification theory, with E.G. Kalnins and J.M. Kress, J. Math. Phys., 47, 043514, (2006) PostScript PDF
  172. Second order superintegrable systems in conformally flat spaces. 5. 2D and 3D quantum systems, with E.G. Kalnins and J.M. Kress, J. Math. Phys., 47, 093501 (2006) PostScript PDF
  173. Exact and quasi-exact solvability of second order superintegrable quantum systems. II. Connection with separation of variables, with E.G. Kalnins and G. S. Pogosyan, J. Math. Phys.,  48, 023503  (2007) PostScript PDF
  174. Fine structure for second order superintegrable systems. with E.G. Kalnins and J.M. Kress, in   
    IMA Volume 144:  Symmetries and Overdetermined Systems of Partial Differential
    Equations (Michael Eastwood and Willard Miller, Jr., Editors) Springer, New York, (2007) PostScript PDF
  175. Exact and quasi-exact solvability of second order superintegrable quantum systems, with E.G. Kalnins and G. S. Pogosyan, in  IMA Volume 144:  Symmetries and Overdetermined Systems of Partial Differential Equations (Michael Eastwood and Willard Miller, Jr., Editors), Springer, New York, (2007) PDF
  176. Nondegenerate 2D complex Euclidean superintegrable systems and algebraic varieties, with E.G. Kalnins and J.M. Kress, J. Phys. A: Math. Theor. 40, 3399-3411, (2007) PostScript
  177. Fine structure for 3D second order superintegrable systems: 3-parameter potentials, with E.G. Kalnins and J.M. Kress, J. Phys. A: Math. Theor. 40, 5875-5892, (2007) PostScript PDF
  178. Nondegenerate 3D complex Euclidean superintegrable systems and algebraic varieties, with E.G. Kalnins and J.M. Kress, J. Math. Phys. 48, 113518,  26 pages,  (2007) PostScript PDF
  179. Wilson polynomials and the generic superintegrable system on the 2-sphere, with E.G. Kalnins and S. Post, J. Phys. A: Math. Theor.   40,  11525-11538, (2007) PostScript PDF
  180. Quantum and classical models for quadratic algebras associated with second order superintegrable systems, with E.G. Kalnins and S. Post ,SIGMA 4, 008, 21 pages; arXiv:0801.2848,(2008) PostScript PDF       
  181. Models of quadratic quantum algebras and their relation to classical superintegrable systems, with E. G. Kalnins and S. Post, Physics of Atomic Nuclei, 72, no. 5, 801-808  (2009) PDF
  182. Models for the 3D singular isotropic oscillator quadratic algebra, with E. G. Kalnins and S. Post,Physics of Atomic Nuclei  Volume 73, Number 2, 359-366, (2010)  PDF
  183. Structure theory for second order 2D superintegrable systems with 1-parameter potentials, with E. G. Kalnins, J. M. Kress, and S. Post.  SIGMA 5 (2009), 008, 24 pages arXiv:0901.3081   doi:10.3842/SIGMA.2009.008 PostScript
  184. Coupling constant metamorphosis and Nth order symmetries in classical and quantum mechanics, with E. G. Kalnins and S. Post,  J. Phys. A: Math. Theor. 43 (2010) 035202. (20 pages) PDF  Postscript     doi: 10.1088/1751-8113/43/3/035202
  185. Laplace-type  equations as conformal superintegrable systems, with  E.  G. Kalnins, J. M. Kress, and S. Post.  Advances in Applied Mathematics 46 (2011) 396–416   Postscript  , (older more expanded version:   PDF   PostScript)   
  186. Families of classical subgroup separable superintegrable systems,  with  E.  G. Kalnins, and  J. M. Kress.  J. Phys. A: Math. Theor. 43 (2010) 092001.    PDF  arXiv:0912.3158v1 [math-ph]
  187.  Superintegrability and higher order constants for classical and quantum systems, with E. G. Kalnins and G. S. Pogosyan,   arXiv:0912.2278v1 [math-ph] Physics of Atomic Nuclei, 74, No. 6, 914-918 (2011)
  188. Superintegrability and higher order integrals for quantum systems, with E. G. Kalnins, and J. M. Kress. . PDF  arXiv:1002.2665v1 [math-ph]  J. Phys. A: Math. Theor. 43 (2010) 265205.
  189. Tools for verifying classical and quantum superintegrability, with E. G. Kalnins, and J. M. Kress. . PDF (with correction for system [s9],   arXiv:1006.0864v1 [math-ph] 
    http://www.emis.de/journals/SIGMA/2010/066/      SIGMA 6 (2010), 066, 23 pages
  190. Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere, with E. G. Kalnins, and S. Post.    http://www.emis.de/journals/SIGMA/2011/051/ [math-ph]  SIGMA 7 (2011), 051, 26 pages
  191. A recurrence relation approach to higher order quantum superintegrability, with E. G. Kalnins, and J. M. Kress. .   http://www.emis.de/journals/SIGMA/2011/031/ [math-ph]  SIGMA 7 (2011), 031, 24 pages
  192. Structure results for higher order symmetry algebras of 2D classical superintegrable systems, with E. G. Kalnins. .   arXiv:1011.5292 [math-ph]  Journal of Nonlinear Systems and Applications (JNSA). 3, Number 1, 29-40, (2012)
  193. Structure theory for extended Kepler-Coulomb 3D classical superintegrable systems, with E. G. Kalnins. .   arXiv:1202.0197 [math-ph]  SIGMA 8 (2012), 034, 25 pages
  194. The Mathematics of Signal Processing, (a textbook of about 450 pages) with Stephen Damelin, Cambridge Texts in Applied Mathematics (No. 48), Cambridge University Press, 2012. (ISBN-13: 9781107013223)
  195. Structure relations for the symmetry algebras of quantum superintegrable systems, with E. G. Kalnins and J. M. Kress. .   J. Phys.: Conf. Ser. 343 012075 doi:10.1088/1742-6596/343/1/012075   (2012)
  196. Superintegrability in a non-conformally-flat space, with E. G. Kalnins and J. M. Kress.    J. Phys. A: Math. Theor. 46 (2013) 022002  
  197. Structure theory for extended Kepler-Coulomb 3D quantum superintegrable systems.    PDF   Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics World Scientific, Singapore, Vol. 11 in the “Nankai Series in Pure, Applied Mathematics and Theoretical Physics”; ISBN 978-981-4518-54-3 (2013) 223-228
  198. Solutions of Helmholtz and Schr\"odinger equations with a side condition and nonregular separation of variables, with P. Broadbridge and C. Chanu.     SIGMA 8 (2012), 089, 31 pages (2012)  
  199. Extended Kepler-Coulomb quantum superintegrable systems in 3 dimensions, with E. G. Kalnins and J. M. Kress.    PDF   J. Phys. A: Math. Theor. 46 (2013) 085206.
  200. Contractions of 2D 2nd order quantum superintegrable systems and the Askey scheme for hypergeometric orthogonal polynomials, with E. G. Kalnins and S. Post.    PDF and postscript   SIGMA 9 (2013), 057, 28 pages
  201. Classical and Quantum Superintegrability with Applications , with S. Post and P. Winternitz.    PDF/PS PDF   J. Phys. A: Math. Theor. 46 (2013) 423001. (a 97 page topical review paper)
  202. The theory of contractions of 2D 2nd order quantum superintegrable systems and its relation to the Askey scheme for hypergeometric orthogonal polynomials     http://arxiv.org/abs/1310.2202   2014 J. Phys.: Conf. Ser. 512 012012 (http://iopscience.iop.org/1742-6596/512/1/012012)
  203. Quadratic algebra contractions and 2nd order superintegrable systems, with E. G. Kalnins     http://arxiv.org/abs/1401.0830   Analysis and Application 12, 583-612, DOI: 10.1142/S0219530514500377 2014
  204. Particle in a field of two centers in prolate spheroidal coordinates: integrability and solvability, with A. Turbiner     PDF   J. Phys. A: Math. Theor. (Fast Track Publication), 47 (2014) 192002 (10pp) doi:10.1088/1751-8113/47/19/19200
  205. (Quasi)-exact-solvability on the sphere S^n, with A. Turbiner     PDF   J. Math. Phys. 56, 023501 (2015); http://dx.doi.org/10.1063/1.4906909
  206. Wilson polynomials/functions and intertwining operators for the generic quantum superintegrable system on the 2-sphere, with Q. Li     PDF   2015 J. Phys.: Conf. Ser. 597 012059 (http://iopscience.iop.org/1742-6596/597/1/012059)
  207. A Geometrical Perspective on the Coherent Multimode Optical Field and Mode-Coupling Equations, with William A. Wood and Michal Mlejnek     PDF   IEEE Journal of Quantum Electronics, 51, No 7, 6100206, July, 2015
  208. Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems, with Robin Heinonen, Ernest G. Kalnins, and Eyal Subag     PDF   SIGMA 11 (2015), 043, 33 pages
  209. Laplace equations, conformal superintegrability and B\^ocher contractions, Authors: E. Kalnins, W. Miller Jr, and E. Subag     PDF   Acta Polytechnica 56, 3, 214-223, (2016)
  210. Examples of complete solvability of 2D classical superintegrable systems, Authors: Willard Miller Jr., Qiushi Li, Yuxuan Chen, Ernie G. Kalnins     PDF  SIGMA 11 (2015), 088, 51 pages
  211. B\^ocher contractions of conformally superintegrable Laplace equations, Authors: Ernie G. Kalnins, Willard Miller Jr., Eyal Subag   PDF   SIGMA 12 (2016), 038, 31 pages; B\^ocher contractions of conformally superintegrable Laplace equations: Detailed computations, Authors: Ernie G. Kalnins, Willard Miller Jr., Eyal Subag     PDF  
  212. Conformal Laplace superintegrable systems in 2D: Polynomial invariant subspaces, Authors: M.A. Escobar-Ruiz and Willard Miller Jr     PDF J. Phys. A: Math. Theor. 49 305202, (2016).
  213. Separation equations for 2D superintegrable systems on constant curvature spaces, Authors: M.A. Escobar-Ruiz, E. G. Kalnins and Willard Miller Jr     PDF, J. Phys. A: Math. Theor. 50, 385202, 2017.
  214. B\^ocher and abstract contractions of 2nd order quadratic algebras, Authors: M. A. Escobar Ruiz, E. G. Kalnins, W. Miller, Jr. and E. Subag     PDF SIGMA 13 (2017) 013 38 pages.
  215. Toward a classification of semidegenerate 3D superintegrable systems, Authors: M. A. Escobar Ruiz and W. Miller, Jr.     PDF J. Phys. A: Mathematical and Theoretical, 50 095203 (2017).
  216. Three-body problem in 3D space: ground state, (quasi)-exact-solvability, Authors: Alexander V Turbiner, W. Miller, Jr, and M. A. Escobar Ruiz.     PDF J. Phys. A: Math. Theor. 50 215201 (2017).
  217. Three-body problem in d-dimensional space: ground state, (quasi)-exact-solvability, Authors: Alexander V Turbiner, W. Miller, Jr, and M. A. Escobar Ruiz.     PDF Journal of Mathematical Physics 59, 022108 (2018); https://doi.org/10.1063/1.4994397.
  218. Contractions of degenerate quadratic algebras, abstract and geometric, Authors: M.A. Escobar Ruiz, W. Miller Jr. and E. Subag     PDF SIGMA 13 (2017), 099, 32 pages.
  219. The quantum n-body problem in dimension d\ge n-1: ground state, Authors: W. Miller, Jr, Alexander V Turbiner, and M. A. Escobar Ruiz.     PDF 2018 J. Phys. A: Math. Theor. 51 205201
  220. Separation of variables and Superintegrability: The symmetry of solvable systems, Authors: E. G. Kalnins, J. M. Kress, and W. Miller, Jr. Instititute of Physics, UK, 2018, ISBN: 978-0-7503-1314-8,     e-book (2018).
  221. Four-body problem in d-dimensional space: ground state, (quasi)-exact-solvability. IV, Authors: M. A. Escobar Ruiz, W. Miller, Jr, and Alexander V Turbiner,     PDF Journal of Mathematical Physics 60, 062101 https://doi.org/10.1063/1.5083129 (2019).
  222. A new approach to analysis of 2D higher order quantum superintegrable systems, Authors: Bjorn K. Berntson, Ian Marquette and Willard Miller Jr,     PDF proceedings volume ebook, M. B. Paranjape et al. (eds.),Quantum Theory and Symmetries, CRM Series in Mathematical Physics,https://doi.org/10.1007/978-3-030-55777-5_10, pages 111-120, (2021).
  223. Three-body closed chain of interactive (an)harmonic oscillators and the algebra sl(4) Authors: Alexander V Turbiner, W. Miller, Jr. and M. A. Escobar Ruiz     PDF J. Phys. A: Math. Theor. 53 055302 (2019))
  224. Superintegrable three-body problems Authors: Alexander V Turbiner, W. Miller, Jr. and M. A. Escobar Ruiz     PDF (submitted) (2019).
  225. Classification of Calogero-like 2nd order superintegrable systems in 3 dimensions, Authors: B.K. Berntson, E.G. Kalnins and W. Miller, J.     PDF SIGMA 16 (2020), 135, 33 pages.
  226. Nonexistence of Calogero-like 2nd order superintegrable systems of class O(4) on the complex 3-sphere Authors: B.K. Berntson, E.G. Kalnins and W. Miller, J.     PDF (2020).
  227. A new way to classify 2D higher order quantum superintegrable systems Authors: Bjorn K. Berntson, Ian Marquette and Willard Miller Jr,     PDF Journal of Physics A: Mathematical and Theoretical, 53 (49) 494003, 1-21. doi: 10.1088/1751-8121/abc04a (2020).
  228. Classical $n$-body system in geometrical and volume variables. I. Three-body case Authors: A. M. Escobar-Ruiz, R. Linares, Alexander V Turbiner and Willard Miller Jr,     PDF (2021).
    International Journal of Modern Physics A Vol. 36, No. 18 (2021) 2150140 (26 pages)

  229. From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics Authors: A. M. Escobar-Ruiz, R. Linares, Alexander V Turbiner and Willard Miller Jr,     PDF J. Phys. A: Math. Theor. 54 015204 (2021).
  230. Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl(7) Authors: A. M. Escobar-Ruiz, Alexander V Turbiner and Willard Miller Jr,     PDF
    Journal of Mathematical Physics 62, 072103 (2021)