Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-25T05:05:37.301Z Has data issue: false hasContentIssue false

THE WP-BAILEY TREE AND ITS IMPLICATIONS

Published online by Cambridge University Press:  24 March 2003

GEORGE ANDREWS
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, [email protected]
ALEXANDER BERKOVICH
Affiliation:
Department of Mathematics, University of Florida, Gainesville, FL 32611, [email protected]
Get access

Abstract

The object of the paper is a thorough analysis of the WP-Bailey tree, a recent extension of classical Bailey chains. The paper begins by observing how the WP-Bailey tree naturally requires a finite number of classical $q$ -hypergeometric transformation formulas. It then shows how to move beyond this closed set of results, and in the process, heretofore mysterious identities of Bressoud are explicated. Next, WP-Bailey pairs are used to provide a new proof of a recent formula of Kirillov. Finally, the relation between the approach in the paper and that of Burge is discussed.

Type
Notes and Papers
Copyright
© The London Mathematical Society, 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)