A note on the separated maximum modulus points of meromorphic functions

• Autorzy: Ewa Ciechanowicz , Ivan I. Marchenko
• Języki publikacji: EN

Abstrakty

EN

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(∞,f) of separated maximum modulus points of the function. We also present examples showing that this estimate is sharp.

Kategorie tematyczne

• 30D30: Meromorphic functions, general theory
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 3
• Strony: 295-310

Daty

wydano

2014

Twórcy

autor

Ewa Ciechanowicz

• Institute of Mathematics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland

autor

Ivan I. Marchenko

• Institute of Mathematics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland

Identyfikatory

DOI

10.4064/ap110-3-6