A curious summation formula in the light of Gamma function and contiguous relation

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DOI:

https://doi.org/10.26637/mjm303/007

Abstract

The main aim of the present paper is to establish a curious summation formula involving recurrence relation of Gamma function.

Keywords:

Gauss second summation theorem, Recurrence relation, Prudnikov

Mathematics Subject Classification:

33C05, 33C20, 33D15, 33D50, 33D60
  • Salahuddin P.D.M College of Engineering, Bahadurgarh , Haryana, India.
  • Vinesh Kumar Jawaharlal Nehru University, New Delhi, India.
  • Pages: 289-295
  • Date Published: 01-07-2015
  • Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

Andrews, L.C.(1992) ; Special Function of Mathematics for Engineers,second Edition, McGraw-Hill Co Inc., New York.

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

Bells, Richard. Wong, Roderick; Special Functions, A Graduate Text,Cambridge Studies in Advanced Mathematics, 2010. DOI: https://doi.org/10.1017/CBO9780511762543

Prudnikov, A. P., Brychkov, Yu. A. and Marichev, O.I.; Integrals and Series Vol. 3: More Special Functions. Nauka, Moscow, 1986. Translated from the Russian by G.G. Gould, Gordon and Breach Science Publishers, New York, Philadelphia, London, Paris, Montreux, Tokyo, Melbourne, 1990.

Rainville, E. D.; The contiguous function relations for $p F_q$ with applications to Bateman's $J_n^{u, v}$ and Rice's $H_n(zeta, p, v)$, Bull. Amer. Math. Soc., 51(1945), 714-723. DOI: https://doi.org/10.1090/S0002-9904-1945-08425-0

Salahuddin ,Chaudhary, M. P.,Kumar,Vinesh ; A summation formula of half argument collocated with contiguous relation, Global Journal of Science Frontier Research, 1(2012),11-41.

Slater, S.L; Generalized Hypergeometric Functions. Cambridge University press, 1966.

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Published

01-07-2015

How to Cite

Salahuddin, and Vinesh Kumar. “A Curious Summation Formula in the Light of Gamma Function and Contiguous Relation”. Malaya Journal of Matematik, vol. 3, no. 03, July 2015, pp. 289-95, doi:10.26637/mjm303/007.

Issue

Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

Section

Articles

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Copyright (c) 2015 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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