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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 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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