Lie Theory and Special Functions
by Willard Miller
Academic Press, New York, 1968 (out of print)
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Chapter 1. Résumé of Lie Theory
Chapter 2. Representations and Realizations of Lie Algebras
Chapter 3. Lie Theory and Bessel Functions
Chapter 4. Lie Theory and Confluent Hypergeometric Functions
Chapter 5. Lie Theory and Hypergeometric Functions
Chapter 6. Special Functions Related to the Euclidean Group in 3-Space
Chapter 7. The Factorization Method
Chapter 8. Generalized Lie Derivatives