Coefficient estimates and fekete-szego inequality for a class of analytic functions satisfying subordinate condition associated with chebyshev polynomials

Abstract

In this paper, we define a class of analytic functions, F(H, alpha, delta, mu), satisfying the following condition(alpha[zf'(z)/f(z)](delta) + (1-alpha) [zf'(z)/f(z)](mu)[1+zf ''(z)/f'(z)](1-mu)) (sic) H(z, t),where alpha is an element of [0, 1], delta is an element of [1, 2] and mu is an element of [0, 1].We give coefficient estimates and Fekete-Szego inequality for this class.