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

Print ISSN: 2319-1023


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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