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arXiv · 1512.03148

Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions

Rintaro Ohno·Toshiyuki Sugawa
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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.

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Rintaro Ohno, Toshiyuki Sugawa. 2015-12-10. Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions. https://doi.org/10.1215/21562261-2017-0015

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