Geodesic
Baernstein’s star-function, maximum modulus points and a problem of Erdős
Ivan I. Marchenko1
1University of Szczecin, Institute of Mathematics
Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 181-202

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  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.
DOI : 10.54330/afm.112881
Keywords: Entire functions, meromorphic functions, subharmonic functions, defects, deviations, spreads, maximum modulus points, Nevanlinna theory

Ivan I. Marchenko  1

1 University of Szczecin, Institute of Mathematics 
Ivan I. Marchenko. Baernstein’s star-function, maximum modulus points and a problem of Erdős. Annales Fennici Mathematici, Tome 47 (2022) no. 1, pp. 181-202. doi: 10.54330/afm.112881
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