An Wonderful Summation Formula
gaussian hypergeometric function, contiguous function, recurrence relation, bailey summation theorem and legendre duplication formula
Abstract
The main aim of the present paper is to develop a summation formula associated to 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.
Chaudhary Salahuddin, Pandit M.P, Recurrence relation (2013) A New Summation Formula Coupled With Contguous relation and Recurrence relation. 13, 75-91.
Published
2014-02-25
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