On coefficient estimates for a certain class of starlike functions

Year 2015, Volume: 44 Issue: 6, 1427 - 1433, 01.12.2015

Ravinder Krishna Raina , Janusz Sokol

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

References

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