paper

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

arXiv:1901.00951 · doi:10.1016/j.jmaa.2008.04.042

Abstract

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

12 pages

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