Article ID Journal Published Year Pages File Type
4622448 Journal of Mathematical Analysis and Applications 2007 11 Pages PDF
Abstract

We deduce new q-series identities by applying inverse relations to certain identities for basic hypergeometric series. The identities obtained themselves do not belong to the hierarchy of basic hypergeometric series. We extend two of our identities, by analytic continuation, to bilateral summation formulae which contain Ramanujan's summation and a very-well-poised summation as special cases.

Related Topics
Physical Sciences and Engineering Mathematics Analysis