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Research Article

Some Transformation Formulae of Ordinary Bilateral Hypergeometric Series

A
Adarsh Kumar Shibli National College, Azamgarh, 276001 Uttar Pradesh (India)
K
Keshav Prasad Yadav Naraina Vidya Peeth Engineering And Management Institute,
M
Mohd. Sadiq Khan Shibli National College, Azamgarh, 276001 Uttar Pradesh (India)
S
Said Al Kathiri Salalah College of Technology, Oman
Volume 3, Issue 2 Pages 103-114 December 30, 2014 197 downloads
Article overview

Abstract

In the present paper, using the bilateral Bailey transform due to Andrews and Warnaar and certain known summation formulae, we have established some transformation formulae of ordinary bilateral hypergeometric series which are believed to be new. We have also discussed few special cases.

Keywords and Phrases

Bailey transformbilateral Bailey transformsummation formulaetransformation formulaeordinary bilateral hypergeometric series.

AMS Subject Classification

Primary 33D15, 33D90, 11A55

Reference information

How to Cite

Adarsh Kumar, Keshav Prasad Yadav, Mohd. Sadiq Khan, Said Al Kathiri (2014). Some Transformation Formulae of Ordinary Bilateral Hypergeometric Series. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 3(2), 103-114.
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