A New Summation Formula Allied With Hypergeometric Function
Gaussian Hypergeometric function, Contiguous function, Re - currence relation, Bailey summation theorem and Legendre duplication formula
Abstract
The main objective of the present paper is to derive a summation formula of half argument associated to Bailey theorem .The result presented here is presumably new.
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Asish Arora, Singh, Salahuddin Rahul (2008) Development of a family of summation formulae of half argument using Gauss and Bailey theorems. 7, 335-342.
A Erd´elyi, W Magnus, F Okerhettinger, F Tricomi (1953) Higher transcendental functions. 1.
E Krupnikov, K K¨olbig (1997) Some special cases of the generalizedhypergeometric function Journal of computational and AppliedMath. 78, 79-95.
J Lavoie, J Miller (1987) Notes on a paper by J. B. Miller. 29(2), 216-220.
J Lavoie (1987) Some summation formulae for the series Math. 49, 269-274.
J Lavoie, F Grondin, A Rathie (1992) Generalizations of Watson's theorem on the sum of a Indian. 34, 23-32.
J Lavoie, F Grondin, A Rathie (1996) Generalizations of Whipple's theorem on the sum of a 3F2. 72(2), 293-300.
J Lavoie, F Grondin, A Rathie, K Arora Generalizations of Dixon's theorem on the sum of a 3F2. 62, 267-276.
C Mitra (1943) Notes. 59(1), 102-109.
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) Development of Some Summation FormulaeUsing Hypergeometric Function. 10, 36-48.
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2011-09-07
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