Open AccessBaernstein’s star-function, maximum modulus points and a problem of Erdős
Author(s) -
И. И. Марченко
Publication year - 2021
Publication title -
annales fennici mathematici
Language(s) - English
Resource type - Journals
eISSN - 2737-114X
pISSN - 2737-0690
DOI - 10.54330/afm.112881
Subject(s) - meromorphic function , star (game theory) , function (biology) , mathematics , modulus , mathematical analysis , combinatorics , geometry , evolutionary biology , biology
The paper is devoted to the development of Baernstein's method of \(T^{*}\)-function. We consider the relationship between the number of separated maximum modulus points of a meromorphic function and the \(T^{*}\)-function. The results of Bergweiler, Bock, Edrei, Goldberg, Heins, Ostrovskii, Petrenko, Wiman are generalized. We also give examples showing that the obtained estimates are sharp.