An Wonderful Summation Formula Convoluted with Contiguous Relation
gauss second summation theorem, recurrence relation, prudnikov
Abstract
In this paper we have developed a summation formula involving recurrence relation of Gamma function and contiguous relation.
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References
L. Andrews (1992) Special Function of Mathematics for Engineers,second Edition.
Asish Arora, Singh, ;. Rahul, Salahuddin (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 and Rice's Hn (ζ, p, ν). 51, 714-723.
M. Salahuddin; Chaudhary, Kumar, Vinesh (2012) A summation formula of half argument collocated with contiguous relation. 1, 11-41.
Published
2014-09-01
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