On strong tracts of subharmonic functions of infinite lower order

Tom 92 / 2007

I. I. Marchenko, A. Szkibiel Annales Polonici Mathematici 92 (2007), 275-284 MSC: Primary 31A05; Secondary 30D20. DOI: 10.4064/ap92-3-6

Streszczenie

The notion of a strong asymptotic tract for subharmonic functions is defined. Eremenko's value $b(\infty ,u)$ 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(\infty ,u)\leq \pi $ for subharmonic functions of infinite lower order.

Autorzy

  • I. I. MarchenkoInstitute of Mathematics
    University of Szczecin
    Wielkopolska 15
    70-451 Szczecin, Poland
    e-mail
  • A. SzkibielInstitute of Mathematics
    University of Szczecin
    Wielkopolska 15
    70-451 Szczecin, Poland
    e-mail

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