Certain Integrals of Generalized Hypergeometric and Confuent Hypergeometric Functions

Autores/as

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

Palabras clave:

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

Resumen

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.

Biografía del autor/a

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

Research Associate

Citas

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Publicado

21-08-2017

Cómo citar

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

Número

Vol. 5 Núm. 2 (2016): "Finally there"

Sección

Pure Mathematics

Licencia

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