Dirichlet Average of Hyper-geometric Kiran Function and Fractional Derivative

Abstract

Abstract: In this paper, first of all define a new function namely Hyper-geometric Kiran Function which is generalization of Hyper-geometric Function then a relation between Dirichlet average of Hyper-geometric Kiran function and fractional derivative is established.

Mathematics Subject Classification: 26A33, 33A30, 33A25 and 83C99.

Keywords and Phrases: Dirichlet average, Hyper-geometric Kiran function Hyper-geometric function, fractional derivative and Fractional calculus operators

Cite this Article: Manoj Sharma, Kiran Sharma. Dirichlet Average of Hyper-geometric Kiran Function and Fractional Derivative. Research & Reviews: Discrete Mathematical Structures. 2019; 6(3): 29–31p.