A Summation Formula of Half Argument in the Light of Hypergeometric Function and Involving Contiguous Relation

Authors

  • Upendra Kumar Pandit

  • M. P. Chaudhary

gauss second summation theorem, recurrence relation, prudnikov

Abstract

In this paper we have developed a summation formula involving contiguous relation. We have developed this formula using the contiguous relation and involving the formula derived by Salahuddin et. al.[7, p.78-84(8)].

How to Cite

A Summation Formula of Half Argument in the Light of Hypergeometric Function and Involving Contiguous Relation. (2015). Global Journal of Science Frontier Research, 15(18), 95-110. https://journalofscience.org/index.php/GJSFR/article/view/

References

M. Abramowitz, I. Stegun (1964) Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables.

L. Andrews (1992) Special Function of Mathematics for Engineers,second Edition.

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) Special Functions, A Graduate Text.

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 __ with application to Batemean's _^, and Rice's _(,,). 51, 714-723.

Chaudhary Salahuddin, M. Feyissa (2014) 14, 77-85.

A Summation Formula of Half Argument in the Light of Hypergeometric Function and Involving Contiguous Relation

Published

2015-05-08

How to Cite

A Summation Formula of Half Argument in the Light of Hypergeometric Function and Involving Contiguous Relation. (2015). Global Journal of Science Frontier Research, 15(18), 95-110. https://journalofscience.org/index.php/GJSFR/article/view/