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On the growth of meromorphic functions

Volume 132 / 2024

Arnold Kowalski, Ivan I. Marchenko Annales Polonici Mathematici 132 (2024), 7-24 MSC: Primary 30D35; Secondary 30D30 DOI: 10.4064/ap230519-15-9 Published online: 8 January 2024

Abstract

We consider the relationship between the number of separated maximum modulus points of a meromorphic function and Eremenko’s deviation $b(\infty ,f)$. The results of Eremenko are generalized. We also give examples showing that the estimates obtained are sharp.

Authors

  • Arnold KowalskiInstitute of Mathematics
    University of Szczecin
    70-451 Szczecin, Poland
    e-mail
  • Ivan I. MarchenkoInstitute of Mathematics
    University of Szczecin
    70-451 Szczecin, Poland
    e-mail

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