Some curious q-series expansions and beta integral evaluations |
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| Authors: | George Gasper Michael Schlosser |
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| Institution: | 1. Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, Illinois, 60208-2730
2. Institut für Mathematik der Universit?t Wien, Nordbergstra?e 15, A-1090, Wien, Austria
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| Abstract: | We deduce several curious q-series expansions by applying inverse relations to certain identities for basic hypergeometric series. After rewriting some
of these expansions in terms of q-integrals, we obtain, in the limit q→ 1, some curious beta-type integral evaluations which appear to be new.
Dedicated to Dick Askey on the occasion of his 70th birthday.
2000 Mathematics Subject Classification Primary—15A09, 33D15, 33E20; Secondary—05A30
M. Schlosser was fully supported by an APART fellowship of the Austrian Academy of Sciences. |
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| Keywords: | q-Series Basic hypergeometric series Matrix inversion q-Integrals Beta-type integrals |
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