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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.

Certain class of p-valent functions associated with the wright generalized hypergeometric function

Aouf M., Shamandy A., Mostafa A., Madian S.

Demonstratio Mathematica

2010

Vol. 43, nr 1

39-54

Using the Wright's generalized hypergeometric function, we introduce a new class Wk (p, q, s; A, B, lambda) of analytic p-valent functions with negative coefficients. In this paper we investigate coefficients estimates, distortion theorem, the radii of p-valent starlikeness and p-valent convexity and modified Hadamard products.

Multivalent Harmonic Functions defined by m-tuple Integral operators

Sharma P.

Commentationes Mathematicae

2010

Vol. 50, [Z] 1

87-101

Certain class of analytic functions associated with the wright generalized hypergeometric function

Aouf M. K., Dziok J.

Journal of Mathematics and Applications

2008

Vol. 30

23-32

Using the Wrigh's generalized hypergeometric function, we introduce a new class W(q, s; A, B, γ) of analytic functions with nega-tive coefficients. In this paper we investigate coefficient estimates, distortion theorem and the radii of convexity and starlikeness.

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.