The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

On a Class of Uniformly Convex Functions Defined by Convolution with Fixed Coefficient


T. N. Shanmugam, S. Sivasubramanian, and G. Murugusundaramoorthy

Department of Mathematics,
College of Engineering,
Anna University,
Chennai - 600 025,

 Department of Mathematics,
University College of Engineering,
Anna University-Chennai,
Saram-604 703,

 School of Sciences
and Humanities,
VIT University, Vellore-632 014,


We define a new subclass of uniformly convex functions with negative and fixed second coefficients defined by convolution. The main object of this paper is to obtain coefficient estimates distortion bounds, closure theorems and extreme points for functions belong to this new class . The results are generalized to families with fixed finitely many coefficients.

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