Some curious q-series expansions and beta integral evaluations
Classical Analysis and ODEs
2019-02-22 v1
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.
Cite
@article{arxiv.math/0403481,
title = {Some curious q-series expansions and beta integral evaluations},
author = {George Gasper and Michael Schlosser},
journal= {arXiv preprint arXiv:math/0403481},
year = {2019}
}
Comments
14 pages, dedicated to Dick Askey