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 [8] As a special case, of fractional q-di?erentiation of Generalized Miller-Ross function has been obtained.

Keywords and Phrases

Fractional integral and derivative operators, Fractional q-derivative, Generalized Miller-Ross function and Special functions.

A.M.S. subject classification

Primary33A30, Secondary 33A25, 83C99.

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