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Coefficient inequalities for certain classes of analytic functions associated with the Wright generalized hypergeometric function

Frasin B. A., Darus M., Al-Hawary T.

Journal of Mathematics and Applications

2011

Vol. 34

27-34

In this paper, we obtain sufficient condition involving coefficient inequalities for f(z) to in the class [...] of analytic functions defined in the open unit disk and satisfying the analytic criterion [...]. Our main result contain some interesting corollaries as special cases.

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.