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arXiv · 2007.02799

Interactions between function theory and holomorphic dynamics

Alexandre Eremenko
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Abstract

This is a survey talk on the ICMS conference "Resonances of complex dynamics", 9-13 July 2018. Three examples which show how dynamical considerations lead to new results in complex function theory are discussed. These examples are: a) a refinement of of the Wiman-Valiron method, b) the proof of Hayman's conjecture on the value distribution of derivatives of meromorphic functions, and c) a new simplified proof of the result of Lin and Wang on the number of critical points of the Green function on a torus.

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Alexandre Eremenko. 2020-07-06. Interactions between function theory and holomorphic dynamics. https://arxiv.org/abs/2007.02799

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