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arXiv · 1307.3042

The Schwarzian derivative and the Wiman-Valiron property

J. K. Langley
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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.

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J. K. Langley. 2013-07-31. The Schwarzian derivative and the Wiman-Valiron property. https://arxiv.org/abs/1307.3042

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