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

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 85

Volume : 3 , Issue : 1
DOI:
Author :
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 ()

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 Polynomials,Clausen’s series, Saalschiltz’ theorem, Gauss’s theorem.

A.M.S. subject classification

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

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