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Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f −1 satisfying the conditions that zf ′ (z)/f (z) and zg ′ (z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are… (More)

- K G Subramanian, T V Sudharsan, R Thirumalaisamy, H Silverman, M Haji Mohd, R M Ali +2 others
- 2010

We introduce a class T S g p (α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z) = z + P ∞ n=2 bnz n , 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 T S g p… (More)

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