Some identities between basic hypergeometric series deriving from a new Bailey-type transformation

Authors

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

Document Type

Article

Publication Date

2008

Abstract

We prove a new Bailey-type transformation relating WPBailey pairs. We then use this transformation to derive a number of new 3- and 4-term transformation formulae between basic hypergeometric series.

Publication Title

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

Publisher

Elsevier

Volume

345

Issue

2

First Page

670

Last Page

677

Comments

Preprint version is available here.

Recommended Citation

McLaughlin, J., & Zimmer, P. (2008). Some identities between basic hypergeometric series deriving from a new Bailey-type transformation. Journal of Mathematical Analysis and Applications, 345(2), 670-677. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/53