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A note on the separated maximum modulus points of meromorphic functions

Volume 110 / 2014

Ewa Ciechanowicz, Ivan I. Marchenko Annales Polonici Mathematici 110 (2014), 295-310 MSC: Primary 30D35; Secondary 30D30. DOI: 10.4064/ap110-3-6

Abstract

We give an upper estimate of Petrenko's deviation for a meromorphic function of finite lower order in terms of Valiron's defect and the number $p(\infty ,f)$ of separated maximum modulus points of the function. We also present examples showing that this estimate is sharp.

Authors

  • Ewa CiechanowiczInstitute of Mathematics
    University of Szczecin
    Wielkopolska 15
    70-451 Szczecin, Poland
    e-mail
  • Ivan I. MarchenkoInstitute of Mathematics
    University of Szczecin
    Wielkopolska 15
    70-451 Szczecin, Poland
    e-mail

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