Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions
Complex Variables
2018-05-23 v1
Abstract
In this note, we discuss the coefficient regions of analytic self-maps of the unit disk with a prescribed fixed point. As an application, we solve the Fekete-Szeg\H{o} problem for normalized concave functions with a prescribed pole in the unit disk.
Keywords
Cite
@article{arxiv.1512.03148,
title = {Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions},
author = {Rintaro Ohno and Toshiyuki Sugawa},
journal= {arXiv preprint arXiv:1512.03148},
year = {2018}
}
Comments
13 pages, 2 figures