Some curious q-series expansions and beta integral evaluations

Details Some curious q-series expansions and beta integral evaluations Some curious q-series expansions and beta integral evaluations

2004-03-29

arxiv.org/abs/math/0403481v1

Mathematics

Classical Analysis and ODEs

14 pages, dedicated to Dick Askey

Scientific paper

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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