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Certain classes of multivalent functions with negative coefficients involving the Hadamard product

Juma A. R. S.

Journal of Applied Analysis

2012

Vol. 18, nr 1

133-143

In this paper, we introduce and investigate a new class of multivalent functions by using the Hadamard product structure defined in the open unit disk. We obtain coefficient estimates, a distortion theorem, extreme points and criteria of starlikeness and convexity for functions which belong to our class. Relevant connections of the results with those obtained in earlier works are also pointed out.