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On certain subclasses of p-valently analytic functions of order alpha

Aouf M.

Demonstratio Mathematica

2007

Vol. 40, nr 2

317-330

The object of the present paper is to derive various properties and char- acteristics of certain subclasses of p-valently analytic functions of order alpha in the open unit disc by using the techniques involving the Briot-Bouquet differential subordination.

Fixed coefficients for certain subclasses of starlike functions with negative coefficients

Aouf M., Al-Dohiman A.

Demonstratio Mathematica

2005

Vol. 38, nr 3

551--565

The main object of this paper is to study the class T*n,c(alfa,beta) of analytic functions with negative coefficients and with fixed second coefficients. Among other results of interest, we derive coefficient estimates, closure properties involving convex linear combinations, growth and distortion theorems, and radii of starlikeness and convexity for functions in the class T*n,c(alfa,beta). Many of these results are further extended to hold true for families of functions with finitely many fixed coefficients.

A convolution approach to certain subclasses of univalent functions related to complex order

Shukla N., Shukla P.

Demonstratio Mathematica

1998

Vol. 31, nr 2

279-284