Journal of Applied Analysis 14 (2008), No. 2, 183--192
Copyright Heldermann Verlag 2008
Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function
Mohamed Kamal Aouf
Dept. of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
mkaouf127@yahoo.com
Jacek Dziok
Institute of Mathematics, University of Rzeszow, Rejtana 16A, 35-310 Rzeszow, Poland
jdziok@univ.rzeszow.pl
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.
Keywords: Wright's generalized hypergeometric function, modified Hadamard product, fractional calculus.
MSC: 30C45, 26A33
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