Fractional Calculus and Generalized K-Function

Abstract
The present paper deals with the representation of the generalized K-function, which is an extension of the multi-index
Mittag-Leffler function defined by Kiryakova [9], the topic has been introduced and studied by the author in terms of
some special functions. it investigates the relations that exists between the generalized K-function and the operators of
Riemann-Liouville fractional integrals and derivatives.
Mathematics Subject Classification: 26A33,33C60
Keywords: – Fractional calculus, Riemann- Liouville fractional integrals and derivatives.

Manisha Bajpai1, Kishan Sharma2*, Vishal Saxena3