The WP-Bailey tree and its implications

George Andrews, Alexander Berkovich

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)529-549
Number of pages21
JournalJournal of the London Mathematical Society
Volume66
Issue number3
DOIs
StatePublished - Dec 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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