Some curious q-series expansions and beta integral evaluations

Published 29 Mar 2004 in math.CA | (0403481v1)

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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