The Schwarzian derivative and the Wiman-Valiron property
Complex Variables
2013-08-01 v2
Abstract
Suppose that a transcendental meromorphic function in the plane has finitely many critical values, while its multiple points have bounded multiplicities, and its inverse function has finitely many transcendental singularities. Using the Wiman-Valiron method it is shown that the Schwarzian derivative does not have a direct transcendental singularity over infinity, and does not have infinity as a Borel exceptional value.
Keywords
Cite
@article{arxiv.1307.3042,
title = {The Schwarzian derivative and the Wiman-Valiron property},
author = {J. K. Langley},
journal= {arXiv preprint arXiv:1307.3042},
year = {2013}
}
Comments
Some typos and minor errors have been corrected