On coefficient estimates for a certain class of starlike functions

Authors : Ravinder Krishna Raina, Janusz Sokol

Pages : 1427-1433

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Publication Date : 2015-12-01

Article Type : Research

Abstract :The purpose of this paper is to consider coefficient estimates in a class of functions S ∗ ( q ) consisting of analytic functions f normalized by f (0) = f ′ (0) − 1 = 0 in the open unit disk $\mathbb{U}$   which satisfies the subordination condition that $$zf'(z)/f(z)\prec q(z), z\in \mathbb{U},$$ where $q(z)=\sqrt{1+z^2}+z$.  
Keywords : analytic functions, convex functions, starlike functions, subordination, coefficient estimates, Hankel determinant