Some Transformation Formulae of Ordinary Bilateral Hypergeometric Series

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 96

Volume : 3 , Issue : 2
DOI:
Author :
Adarsh Kumar (Shibli National College, Azamgarh, 276001 Uttar Pradesh (India))
Keshav Prasad Yadav (Naraina Vidya Peeth Engineering And Management Institute,)
Mohd. Sadiq Khan (Shibli National College, Azamgarh, 276001 Uttar Pradesh (India))
Said Al Kathiri (Salalah College of Technology, Oman)

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 transform, bilateral Bailey transform, summation formulae, transformation formulae, ordinary bilateral hypergeometric series.

A.M.S. subject classification

Primary 33D15, 33D90, 11A55

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