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

Authors

  • Dr. Salahuddin

  • Dr. Salahuddin

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.

Downloads

How to Cite

Development of a Summation Formula in Connection with Hypergeometric and Gamma Function. (2013). Global Journal of Science Frontier Research, 13(F2), 25-53. https://www.journalofscience.org/index.php/GJSFR/article/view/790

References

L Andrews (1992) Special Function of mathematics for Engineers.

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 Beals, Roderick Wong (2010) Special Functions.

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.

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

Published

2013-04-10

How to Cite

Development of a Summation Formula in Connection with Hypergeometric and Gamma Function. (2013). Global Journal of Science Frontier Research, 13(F2), 25-53. https://www.journalofscience.org/index.php/GJSFR/article/view/790