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 <I>TS</I><SUB>p</SUB><SUP>g</SUP>(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z)=z+<I>Σ</I><SUB>n=2</SUB><SUP>∞</SUP>b<SUB>n</SUB>z<SUP>n</SUP>, b<SUB>n</SUB>>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 <I>TS</I><SUB>p</SUB><SUP>g</SUP>(α).
Authors and Affiliations
K. Subramanian, T. Sudharsan, R. Thirumalaisamy, H. Silverman
Keywords
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