Coefficient Inequalities for Starlikeness and Convexity
Complex Variables
2012-08-02 v1
Abstract
For an analytic function f(z)=z+\sum_{n=2}^\infty a_n z^n satisfying the inequality \sum_{n=2}^\infty n(n-1)|a_n|\leq \beta, sharp bound on is determined so that is either starlike or convex of order . Several other coefficient inequalities related to certain subclasses are also investigated.
Cite
@article{arxiv.1109.0609,
title = {Coefficient Inequalities for Starlikeness and Convexity},
author = {Rosihan M. Ali and Moradi Nargesi Mahnaz and V. Ravichandran},
journal= {arXiv preprint arXiv:1109.0609},
year = {2012}
}