Development of a Summation Formula in Connection with Hypergeometric and Gamma Function

Authors

  • Salahuddin

  • R. K. Khola

  • S. R. Yadav

contiguous relation, gauss second summation theorem, recurrence relation

Abstract

The aim of this paper is to derive a summation formula based on half argument in connection with Hypergeometric function and involving recurrence relation and Gauss summation theorem.

How to Cite

Development of a Summation Formula in Connection with Hypergeometric and Gamma Function. (2013). Global Journal of Science Frontier Research, 13(8), 25-53. https://journalofscience.org/index.php/GJSFR/article/view/

References

Special Function of mathematics for Engineers.

L. Andrews (1992) Andrews, L.C. ; York,1992.

Asish Arora, Singh, Salahuddin Rahul (2008) Development of a family of summation formulae of half argument using Gauss and Bailey theorems. 7, 335-342.

Richard Bells, Roderick Wong (2010) Bells, Richard., Wong, Roderick ; Advanced Mathematics, 2010.

J. Lavoie, F. Grondin, A. Rathie (1992) Generalizations of Watson's theorem on the sum of a 3F2. 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. https://doi.org/10.1016/0377-0427(95)00279-0

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 Ju,v and Rice's Hn (ζ, p, ν). 51, 714-723.

Salahuddin, M. Chaudhary (2010) Development of some summation formulae using Hypergeometric function. 10, 36-48.

Salahuddin (2010) Two summation formulae based on half argument associated to Hypergeometic function. 10, 08-19.

Development of a Summation Formula in Connection with Hypergeometric and Gamma Function

Published

2013-02-25

How to Cite

Development of a Summation Formula in Connection with Hypergeometric and Gamma Function. (2013). Global Journal of Science Frontier Research, 13(8), 25-53. https://journalofscience.org/index.php/GJSFR/article/view/