Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions
arXiv:1512.03148 · doi:10.1215/21562261-2017-0015
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-Szegő problem for normalized concave functions with a prescribed pole in the unit disk.
13 pages, 2 figures