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Talk Abstract
Special Functions Past, Present and Future

Ernie Kalnins, University of Waikato

We have a look at the properties of special functions as they occur classically and how they are characterised by group theory. Emphasis is placed on special functions that generalise hypergeometric functions. Some examples on how these functions occur in the study of quantum integrability and perturbations of black holes are discussed. Some unsolved problems are mentioned as well as an outline of future developments.

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1996-1997 Mathematics in High Performance Computing