Evaluation of a summation formula associated with Gamma function and involving Gauss Theorem

Authors

  • Dr. Salahuddin

Contiguous relation, Gauss second summation theorem, Re-currence relation

Abstract

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

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How to Cite

Evaluation of a summation formula associated with Gamma function and involving Gauss Theorem. (2012). Global Journal of Science Frontier Research, 12(F5), 25-54. https://www.journalofscience.org/index.php/GJSFR/article/view/625

References

L Andrews (1992) Special Function of mathematics for Engineers,Second Edi--tion.

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

A Prudnikov, Yu. Brychkov, O Marichev (1986) Special Functions. 3, 127-570.

E Rainville (1945) The contiguous function relations for p F q with applications to Bateman's J u,v n and Rice's H n (ζ, p, ν. 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.

Evaluation of a summation formula associated with Gamma function and involving Gauss Theorem

Published

2012-05-14

How to Cite

Evaluation of a summation formula associated with Gamma function and involving Gauss Theorem. (2012). Global Journal of Science Frontier Research, 12(F5), 25-54. https://www.journalofscience.org/index.php/GJSFR/article/view/625