A Summation Formula Clung to Contiguous Relation
gaussian hypergeometric function, contiguous function, recurrence relation, bailey summation theorem and legendre duplication formula
Abstract
The main aim of the present paper is to evaluate a summation formula in the shadow of contiguous relation and recurrence relation.
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References
Richard Bells, Roderick Wong (2010) Special Functions , A Graduate Text.
A Prudnikov, Yu. Brychkov, O Marichev (1986) Special Functions. 3, 127-570.
Earl Rainville (1945) The contiguous function relations for _{}_{} with application to Batemean's _{}^{,} and Rice's _{}(,,). 51(10), 714-723.
Salahuddin, M Chaudhary (2010) A New Summation Formula Allied With Hypergeometric Function. 11, 21-37.
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2013-05-06
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