Bonfring International Journal of Data Mining

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On Certain Subclasses of Analytic and Univalent Functions based on an Extension of Salagean Operator

T.V. Sudharsan and R. Vijaya


Abstract:

There is many subclasses of analytic and univalent functions. A class T of functions with negative coefficients introduced by Silverman [8] opened up a new and fruitful line of research in the theory of univalent functions. Following the works of Khairnar and Meena More [3], Aghalary and Kulkarni [1], Silverman and Silvia [8] and Owa and Nishiwaki [5] on analytic and univalent functions, in this paper we introduce two new classes for a family of analytic function with negative coefficients. We have attempted to obtain coefficient estimate, distortion theorem and extreme points for the class

Keywords: Convex Functions, Salagean Operator, Starlike Functions, Univalent Functions

Volume: 3 | Issue: 3

Pages: 17-22

Issue Date: September , 2013

DOI: 10.9756/BIJDM.1297

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