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Certain Derived WP-Bailey Pairs and Transformation Formulas for $q$-Hypergeometric Series

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In this paper, several results involving the derived WP-Bailey pairs of sequences are established. Furthermore, by using these results, a number of transformation formulas for basic (or $q$-) hypergeometric series… Click to show full abstract

In this paper, several results involving the derived WP-Bailey pairs of sequences are established. Furthermore, by using these results, a number of transformation formulas for basic (or $q$-) hypergeometric series are derived.

Keywords: bailey pairs; derived bailey; hypergeometric series; transformation formulas

Journal Title: Filomat
Year Published: 2017

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