Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives

Xiao-Min Li; Hong-Xun Yi

Annales Polonici Mathematici (2010)

  • Volume: 98, Issue: 3, page 207-219
  • ISSN: 0066-2216

Abstract

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We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.

How to cite

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Xiao-Min Li, and Hong-Xun Yi. "Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives." Annales Polonici Mathematici 98.3 (2010): 207-219. <http://eudml.org/doc/281015>.

@article{Xiao2010,
abstract = {We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.},
author = {Xiao-Min Li, Hong-Xun Yi},
journal = {Annales Polonici Mathematici},
keywords = {meromorphic functions; sharing values; sharing small functions; Wiman-Valiron theory},
language = {eng},
number = {3},
pages = {207-219},
title = {Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives},
url = {http://eudml.org/doc/281015},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Xiao-Min Li
AU - Hong-Xun Yi
TI - Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 3
SP - 207
EP - 219
AB - We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.
LA - eng
KW - meromorphic functions; sharing values; sharing small functions; Wiman-Valiron theory
UR - http://eudml.org/doc/281015
ER -

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