On strong tracts of subharmonic functions of infinite lower order

• Autorzy: I. I. Marchenko , A. Szkibiel
• Języki publikacji: EN

Abstrakty

EN

The notion of a strong asymptotic tract for subharmonic functions is defined. Eremenko's value b(∞,u) for subharmonic functions is introduced and it is used to provide an exact upper estimate of the number of strong tracts of subharmonic functions of infinite lower order. It is also shown that b(∞,u) ≤ π for subharmonic functions of infinite lower order.

Kategorie tematyczne

• 30D20: Entire functions, general theory
• 31A05: Harmonic, subharmonic, superharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 92
• Numer: 3
• Strony: 275-284

Daty

wydano

2007

Twórcy

autor

I. I. Marchenko

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

autor

A. Szkibiel

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

Identyfikatory

DOI

10.4064/ap92-3-6