Establishment of a Summation Formula in the Light of Contiguous Relation
gaussian hypergeometric function, contiguous function, recurrence relation, bailey summation theorem and legendre duplication formula., Bailey summation theorem and Legendre duplication formula, Contiguous function, Gaussian Hypergeometric function, Recurrence relation
Abstract
The main aim of the present paper is to compute a summation formula in the light of recurrence relation and contiguous relation.
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References
L. Andrews (1992) Special Function of mathematics for Engineers,second Edition.
Asish Arora, Singh, Salahuddin Rahul (2008) Development of a family of summation formulae of half argument using Gauss and Bailey theorems. 7, 335-342.
Richard Bells, Roderick Wong (2010) Special Functions , A Graduate Text.
A. Prudnikov, Yu. Brychkov, O. Marichev (1986) Special Functions. 3.
Rainville, p. Rice's Hn (ζ, ν), Bull. Soc (1945) The contiguous function relations for pFq with applications to Bateman's J u,v and Rice's Hn (ζ, p, ν). 51, 714-723.
Salahuddin, M. Chaudhary (2010) A New Summation Formula Allied With Hypergeometric Function. 11, 21-37.
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2013-07-26
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