Extensions of Bailey's transform and applications

C. M. Joshi and Yashoverdhan Vyas

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-15

Abstract:

The well-known Bailey's transform is extended. Using the extended transform, we derive hitherto undiscovered ordinary and q -hypergeometric identities and discuss their particular cases of importance, namely, two new q -sums for Saalschützian 4 Φ 3 , new double series Rogers-Ramanujan-type identities of modulo 81, discrete extension of the q -analogs of two quadratic transformations of 2 F 1 , and two new quadratic-cubic transformations of 3 F 2 .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:240386

DOI: 10.1155/IJMMS.2005.1909

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