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Distortion and convolutional theorems for operators of generalized fractional calculus involving wright function

Aouf M. K., Dziok J.

Journal of Applied Analysis

2008

Vol. 14, nr 2

183-192

Using the Wright's generalized hypergeornetric 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 (hypergeornetric) operators of fractional calculus.