A CERTAIN SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY LAMBDA OPERATOR

A CERTAIN SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY LAMBDA OPERATOR

B. Venkateswarlu, P. T. Reddy , G. Swapna

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Abstract

In this paper, we introduce a new subclass of uniformly convex functions with negative coe cients de ned by lambda operator. We obtain the coe cient bounds, growth distortion properties, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class TS( ; %;  ; s): Furthermore, we ob- tained modi ed Hadamard product, convolution and integral operators for this class.

Keywords

analytic, coe cient bounds, extreme points, convolution.