Fractional q-Derivative and Generalized N2 Function

Abstract

Abstract

This paper is devoted to fractional q-derivative of special functions. To begin with the theorem on term by term q-fractional differentiation has been derived. The result is an extension of an earlier result due to Yadav and Purohit and Sharma, Jain and Ali. As a special case, of fractional q-differentiation of N₂ Function has been obtained.

Keywords: Fractional integral and derivative operators, Fractional q-derivative, N2 Function and Special functions

Mathematics Subject Classification: Primary 33A30, Secondary 33A25, 83C99

Cite this Article

Manoj Sharma, Mohd. Farman Ali. Fractional Q-Derivative and Generalized N2 Function. Research & Reviews: Discrete Mathematical Structures. 2019; 6(1): 38–40p.