Article ID Journal Published Year Pages File Type
4621801 Journal of Mathematical Analysis and Applications 2007 11 Pages PDF
Abstract

By means of a modified version of Cauchy's method for obtaining bilateral series identities, two new transformation formulas for bilateral basic hypergeometric series are derived. These contain several important identities for basic hypergeometric series as special cases, including the nonterminating q-Saalschütz summation, Bailey's very well-poised summation and the nonterminating Watson transformation.

Related Topics
Physical Sciences and Engineering Mathematics Analysis