An Extension of Beta Function by Using Wiman’s Function

Abstract

The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman. In particular, we study some functional relations, integral representation, Mellin transform and derivative formulas for this extended beta function.

Keywords

• classical Euler beta function
• gamma function
• Gauss hypergeometric function
• confluent hypergeometric function
• Mittag-Leffler function