Second-order differential subordinations for analytic functions with fixed initial coefficient
Complex Variables
2012-08-02 v1
Abstract
Functions with fixed initial coefficient have been widely studied. A new methodology is proposed in this paper by making appropriate modifications and improvements to the theory of second-order differential subordination. Several interesting examples are given. The results obtained are applied to the classes of convex and starlike functions with fixed second coefficient.
Cite
@article{arxiv.1208.0150,
title = {Second-order differential subordinations for analytic functions with fixed initial coefficient},
author = {Rosihan M. Ali and Sumit Nagpal and V. Ravichandran},
journal= {arXiv preprint arXiv:1208.0150},
year = {2012}
}