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Some curious q-series expansions and beta integral evaluations

George Gasper·Michael Schlosser
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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.

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George Gasper, Michael Schlosser. 2004-03-29. Some curious q-series expansions and beta integral evaluations. https://doi.org/10.1007/s11139-006-0249-x

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