A note on the separated maximum modulus points of meromorphic functions

Ewa Ciechanowicz; Ivan I. Marchenko

Annales Polonici Mathematici (2014)

  • Volume: 110, Issue: 3, page 295-310
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Ewa Ciechanowicz, and Ivan I. Marchenko. "A note on the separated maximum modulus points of meromorphic functions." Annales Polonici Mathematici 110.3 (2014): 295-310. <http://eudml.org/doc/280828>.

@article{EwaCiechanowicz2014,
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 p(∞,f) of separated maximum modulus points of the function. We also present examples showing that this estimate is sharp.},
author = {Ewa Ciechanowicz, Ivan I. Marchenko},
journal = {Annales Polonici Mathematici},
keywords = {meromorphic function; maximum modulus point; Valiron's defect; logarithmic density},
language = {eng},
number = {3},
pages = {295-310},
title = {A note on the separated maximum modulus points of meromorphic functions},
url = {http://eudml.org/doc/280828},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Ewa Ciechanowicz
AU - Ivan I. Marchenko
TI - A note on the separated maximum modulus points of meromorphic functions
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 3
SP - 295
EP - 310
AB - 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.
LA - eng
KW - meromorphic function; maximum modulus point; Valiron's defect; logarithmic density
UR - http://eudml.org/doc/280828
ER -

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