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Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function

  • M. K. Aouf and J. Dziok

Abstract

Using the Wright's generalized hypergeometric function, we investigate a class W(q, s; A, B, λ) of analytic functions with negative coefficients. We derive many results for the modified Hadamard product of functions belonging to the class W(q, s; A, B, λ). Moreover, we generalize some of the distortion theorems to the classical fractional integrals and derivatives and the Saigo (hypergeometric) operators of fractional calculus.

Received: 2007-07-09
Revised: 2008-03-01
Published Online: 2010-06-09
Published in Print: 2008-December

© Heldermann Verlag

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