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arXiv · 1902.04330

Identifying logarithmic tracts

James Waterman
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Abstract

We show that a direct tract bounded by a simple curve is a logarithmic tract and further give sufficient conditions for a direct tract to contain logarithmic tracts. As an application of these results, an example of a function with infinitely many direct singularities, but no logarithmic singularity over any finite value, is shown to be in the Eremenko-Lyubich class.

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James Waterman. 2019-02-12. Identifying logarithmic tracts. https://arxiv.org/abs/1902.04330

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