Properties and Applications of Extended Hypergeometric Functions

Main Article Content

Daya Krishna Nagar https://orcid.org/0000-0003-4337-6334
Raúl Alejandro Morán-Vásquez https://orcid.org/0000-0003-4121-7655
Arjun K Gupta

Keywords

beta distribution, extended beta function, extended confluent hyper- geometric function, extended gamma function, extended Gauss hypergeometric function, gamma distribution, quotient, Gauss hypergeometric function

Abstract

In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions. We also show that these functions occur naturally in statistical distribution theory.

MSC: 33C90

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