On strong tracts of subharmonic functions of infinite lower order

I. I. Marchenko; A. Szkibiel

Annales Polonici Mathematici (2007)

  • Volume: 92, Issue: 3, page 275-284
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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I. I. Marchenko, and A. Szkibiel. "On strong tracts of subharmonic functions of infinite lower order." Annales Polonici Mathematici 92.3 (2007): 275-284. <http://eudml.org/doc/280303>.

@article{I2007,
abstract = {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.},
author = {I. I. Marchenko, A. Szkibiel},
journal = {Annales Polonici Mathematici},
keywords = {subharmonic function; strong tract},
language = {eng},
number = {3},
pages = {275-284},
title = {On strong tracts of subharmonic functions of infinite lower order},
url = {http://eudml.org/doc/280303},
volume = {92},
year = {2007},
}

TY - JOUR
AU - I. I. Marchenko
AU - A. Szkibiel
TI - On strong tracts of subharmonic functions of infinite lower order
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 3
SP - 275
EP - 284
AB - 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.
LA - eng
KW - subharmonic function; strong tract
UR - http://eudml.org/doc/280303
ER -

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