FORMATION OF CERTAIN SUMMATION FORMULAE BASED ON HALF ARGUMENT INVOLVING HYPERGEOMETRIC FUNCTION
Gaussian Hypergeometric function, Contiguous function, Recurrence relation, Bailey summation theorem and Legendre duplication formula
Abstract
The main objective of the present paper is to obtain certain new results involving Hypergeometric function.The results presented here are 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.
J Choi, H Harsh, A Rathie (2001) Some summation formulae for the Apple's function East Asian Math. 17, 233-237.
A Erdelyi, W Magnus, F Okerhettinger, F Tricomi (1953) Higher transcendental functions. 1.
E Krupnikov, K Kölbig (1997) Some special cases of the generalized hypergeometric function q+1Fq. 78(1), 79-95.
J Lavoie, J Miller (1987) Notes on a paper by. 29, 216-220.
J-L Lavoie (1987) Some summation formulas for the series ₃₂(1). 49(179), 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-L Lavoie, F Grondin, A Rathie, K Arora (1994) Generalizations of Dixon's theorem on the sum of a ₃₂. 62(205), 267-276.
C Mitra (1943) Notes. 59(1), 102-109.
A Prudnikov, Yu. Brychkov, O Marichev (1986) Special Functions. 3, 127-570.
E Rainville (1945) The contiguous function relations for Bull. 51, 714-723.
Salahuddin, M Chaudhary (2010) Development of Some Summation Formulae Using Hypergeometric Function. 10, 36-48.
U Unknown Title.
Sharma Shashikant, S Rathie, A (2003) Some summation formulae for the Apple's function. 4, 81-84.
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2011-07-06
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