Hypergeometric Transformations Involving Terminating Clausen's Series Using Beta Integral Technique

M.I. Qureshi; Sulakshana Bajaj; Yasmeen

M.I. Qureshi Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University)

Sulakshana Bajaj Govt. College, Kota, University of Kota (Rajasthan) 324001, India

Yasmeen

Volume 3, Issue 1 Pages 1-10 June 30, 2014 218 downloads

Article overview

Abstract

The main object of this paper is to obtain the correct form of two erroneous integrals of Erdélyi et al. [Tables of Integral Tmnsf01"ms,Vol.II, p.284(16.4.1 and 16.43)]. Five hypergeo- metric transformations of the terminating Clausen’s series 3F; are also obtained.

Keywords and Phrases

Jacobi PolynomialsClausen’s seriesSaalschiltz’ theoremGauss’s theorem.

AMS Subject Classification

Primary: 33CO5,33C20; Secondary: 33C45.

Reference information

How to Cite

M.I. Qureshi, Sulakshana Bajaj, Yasmeen (2014). Hypergeometric Transformations Involving Terminating Clausen's Series Using Beta Integral Technique. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 3(1), 1-10.

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