General WP-Bailey Chains

Authors

James McLaughlin, West Chester University of PennsylvaniaFollow
Peter Zimmer, West Chester University of PennsylvaniaFollow

Document Type

Article

Publication Date

2010

Abstract

Motivated by a recent paper of Liu and Ma, we describe a number of general WP-Bailey chains. We show that many of the existing WP-Bailey chains (or branches of the WP-Bailey tree), including chains found by Andrews, Warnaar and Liu and Ma, arise as special cases of these general WP-Bailey chains. We exhibit three new branches of the WP-Bailey tree, branches which also follow as special cases of these general WP-Bailey chains. Finally, we describe a number of new transformation formulae for basic hypergeometric series which arise as consequences of these new WP-Bailey chains.

Publication Title

The Ramanujan Journal

ISSN

1382-4090

Publisher

Springer

Volume

22

Issue

1

First Page

11

Last Page

31

Comments

Preprint version is available here.

Recommended Citation

McLaughlin, J., & Zimmer, P. (2010). General WP-Bailey Chains. The Ramanujan Journal, 22(1), 11-31. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/49