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2 Demonstratio Mathematica

2 2008

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Generalizations of Hadamard products of certain meromorphic univalent functions with positive coefficients

100%

Aouf M. , Silverman H.

tom Vol. 41, nr 2

381-388

The authors establish certain results concerning the generalized Hadamard products of certain meromorphic univalent functions with positive coefficients analagous to the results due to Choi et al. (J. Math. Anal. Appl. 199(1996), 495-501).

Some properties of a subclass of uniformly convex functions with negative coefficients

84%

Aouf M. , Mostafa A.

tom Vol. 41, nr 2

353-370

The aim of this paper is to obtain coefficient estimates, distortion theorem, extreme points and radii of close - to - convexity, starlikeness and convexity for functions belonging to the subclass TSlambda (n,alpha, beta) of uniformly convex functions with negative coefficients. We also derive many results for the modified Hadamard products of functions belonging to the class TSlambda(n,alpha, beta), and obtain several interesting distortion theorems for certain fractional operators of functions in this class. Finally, we consider integral operators associated with functions in this class.