The hyper-order of solutions of certain linear complex differential equations

Guowei Zhang; Ang Chen

Annales Polonici Mathematici (2010)

  • Volume: 97, Issue: 3, page 273-284
  • ISSN: 0066-2216

Abstract

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We prove some theorems on the hyper-order of solutions of the equation f ( k ) - e Q f = a ( 1 - e Q ) , where Q is an entire function, which is a polynomial or not, and a is an entire function whose order can be larger than 1. We improve some results by J. Wang and X. M. Li.

How to cite

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Guowei Zhang, and Ang Chen. "The hyper-order of solutions of certain linear complex differential equations." Annales Polonici Mathematici 97.3 (2010): 273-284. <http://eudml.org/doc/280953>.

@article{GuoweiZhang2010,
abstract = {We prove some theorems on the hyper-order of solutions of the equation $f^\{(k)\}-e^\{Q\}f = a(1-e^\{Q\})$, where Q is an entire function, which is a polynomial or not, and a is an entire function whose order can be larger than 1. We improve some results by J. Wang and X. M. Li.},
author = {Guowei Zhang, Ang Chen},
journal = {Annales Polonici Mathematici},
keywords = {hyper order; entire function; linear complex differential equation; shared value},
language = {eng},
number = {3},
pages = {273-284},
title = {The hyper-order of solutions of certain linear complex differential equations},
url = {http://eudml.org/doc/280953},
volume = {97},
year = {2010},
}

TY - JOUR
AU - Guowei Zhang
AU - Ang Chen
TI - The hyper-order of solutions of certain linear complex differential equations
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 3
SP - 273
EP - 284
AB - We prove some theorems on the hyper-order of solutions of the equation $f^{(k)}-e^{Q}f = a(1-e^{Q})$, where Q is an entire function, which is a polynomial or not, and a is an entire function whose order can be larger than 1. We improve some results by J. Wang and X. M. Li.
LA - eng
KW - hyper order; entire function; linear complex differential equation; shared value
UR - http://eudml.org/doc/280953
ER -

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