Properties and Applications of Extended Hypergeometric Functions

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

Keywords

• beta distribution
• extended beta function
• extended confluent hyper- geometric function
• extended gamma function
• extended Gauss hypergeometric function
• gamma distribution