Certain Integrals of Generalized Hypergeometric and Confuent Hypergeometric Functions

Authors

  • Dinesh Kumar Department of Mathematics & Statistics, Jai Narain Vyas University, Jodh-pur 342011, India

Keywords:

Generalized Beta functions, Generalized Gamma functions, Generalized Gauss hypergeometric functions, Confluent hipergeometric function

Abstract

In this paper, we aim at establishing certain finite integral formulas for the generalized Gauss hypergeometric and confluent hypergeometric functions. Furthermore, the$F^{(\alpha ,\beta)}_p(a,b;c;z)$-function occurring in each of our main results can be reduced, under variousspecial cases, to such simpler functions as the classical Gauss hypergeometric function $_{2}F_{1}$, Gauss confluent hypergeometric function $\varphi^{(\alpha ,\beta)}_p(b;c;z)$ function and generalized hypergeometric function $_{p}F_{q}$. A specimen of some of these interesting applications of our main integral formulas are presented briefly.

Author Biography

Dinesh Kumar, Department of Mathematics & Statistics, Jai Narain Vyas University, Jodh-pur 342011, India

Research Associate

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Published

21-08-2017

How to Cite

Kumar, D. (2017). Certain Integrals of Generalized Hypergeometric and Confuent Hypergeometric Functions. Sigmae, 5(2), 8–18. Retrieved from https://publicacoes.unifal-mg.edu.br/revistas/index.php/sigmae/article/view/520

Issue

Vol. 5 No. 2 (2016): "Finally there"

Section

Pure Mathematics

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