A class of analytic functions based on convolution

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A class of analytic functions based on convolution

Journal Title: Surveys in Mathematics and its Applications - Year 2010, Vol 5, Issue 0

Abstract

We introduce a class TSpg(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z)=z+Σn=2∞bnzn, bn>0, |z|<1. We obtain the coefficient inequality, coefficient estimate, distortion theorem, a convolution result, extreme points and integral representation for functions in the class TSpg(α).

Authors and Affiliations

K. Subramanian, T. Sudharsan, R. Thirumalaisamy, H. Silverman

Keywords

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EP ID EP97318
DOI -
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