Development of a summation formula related to hypergeometric functions
Contiguous relation, Gauss second summation theorem
Abstract
The aim of the present paper is to obtain a summation formula based on half argument related to hypergeometric functions.The result is general in nature and is believed to be 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.
J Lavoie (1987) Some summation formulae for the series Math. 49, 269-274.
J-L Lavoie, F Grondin, A Rathie, K Arora (1992) Generalizations of Dixon's theorem on the sum of a ₃₂. 62(205), 267-276.
J Lavoie, F Grondin, A Rathie (1996) Generalizations of Whipple's theorem on the sum of a 3F2. 72(2), 293-300.
A Prudnikov, Yu Brychkov, O Marichev (1986) More Special Functions. 3.
E Rainville (1945) The contiguous function relations for with applications to Bateman's and Rice's Bull. 51, 714-723.
Salahuddin, M Chaudhary (2010) Development of some summation formulae using Hypergeometric function. 10, 36-48.
Salahuddin, M Chaudhary (2010) Certain summation formulae associated to Gauss second summation theorem. 10, 30-35.
F 2 ; F Q J U,V N H N Unknown Title. 3, 3-5.
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2011-07-11
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