Some curious q-series expansions and beta integral evaluations
arXiv:math/0403481 · doi:10.1007/s11139-006-0249-x
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.
14 pages, dedicated to Dick Askey