A class of analytic functions based on convolution
oleh: H. Silverman, K.G. Subramanian, R. Thirumalaisamy, T.V. Sudharsan
| Format: | Article |
|---|---|
| Diterbitkan: | University Constantin Brancusi of Targu-Jiu 2010-09-01 |
Deskripsi
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).