Titlebook: Special Functions 2000: Current Perspective and Future Directions; Joaquin Bustoz,Mourad E. H. Ismail,Sergei K. Suslo Book 2001 Kluwer Aca

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Special Functions 2000: Current Perspective and Future Directions978-94-010-0818-1Series ISSN 1568-2609

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,Flowers Which We Cannot Yet See Growing in Ramanujan’s Garden of Hypergeometric Series, Elliptic FuMany of Ramanujan’s ideas and theorems form the seeds of questions and problems, many of which remain unresolved or even to be thoroughly examined. This survey raises questions arising from Ramanu- jan’s work on theta-functions and other (.-series, with Gaussian hypergeometric functions making frequent appearances.

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The Bispectral Problem: An Overview,I describe the problem in its original form, talk about possible variants of it, describe some results, and then indicate the role of the bispectral problem as a discovery tool in unknown territory.

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