2020/07/06 by Alexandre Eremenko, Alexandre Erëmenko, Eremenko, Alexandre
Mathematics · #Advanced Differential Equations and Dynamical Systems #Mathematics and Applications #Meromorphic and Entire Functions #math.CV #msc:30D05 #msc:30D20 #msc:30D30
paper · pdf · doi:10.48550/arxiv.2007.02799
12 pages, 1 figure, survey talk on the ICMS conference "Resonances of complex dynamics", 9-13 July 2018
arxiv created 2020/07/06 · arxiv updated 2020/07/07
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.