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Quasi-Hadamard product of certain p-valent functions

Hossen H.

Demonstratio Mathematica

2000

Vol. 33, nr 2

277-281

The author establish certain results concerning the quasi-Hadamard product of certain p-valent starlike and p-valent convex functions.

A certain subclass of analytic p-valent functions with negative coefficients

Aouf M., Hossen H., Srivastava H.

Demonstratio Mathematica

1998

Vol. 31, nr 3

595-608

The object of the present paper is to derive several sharp results for the modified Hadamard products (or convolution) of functions belonging to a certain subclass Gp (lambda,alfa) of analytic and p-valent functions with negative coefficients, which is related rather closely to a class Fp (lambda,alfa) studied earlier by Lee et al. [4] . Distortion theorems for the fractional calculus (that is, fractional integral and fractional derivative) of functions in the class Gp (lambda,alfa) are obtained. This paper is essentially a sequel to the work of Aouf [3] who introduced, and derived some basic properties of, the class Gp(lambda,alfa).