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3 Demonstratio Mathematica

3 2008

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

Aouf M., Mostafa A.

Demonstratio Mathematica

2008

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.

On certain class of analytic functions associated with a convolution structure

Murugusundaramoorthy G., Raina R.

Demonstratio Mathematica

2008

Vol. 41, nr 3

551-559

Making use of a convolution structure, we introduce a new class of analytic functions defined in the open unit disc and investigate its various characteristics. Apart from deriving a set of coefficient bounds, we establish several inclusion relation-ships involving the (n, [...)-neighborhoods of analytic functions with negative coefficients belonging to this subclass.

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

Aouf M., Silverman H.

Demonstratio Mathematica

2008

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).