Entire functions that share values or small functions with their derivatives

Sheng Li; Zongsheng Gao; Jilong Zhang

Annales Polonici Mathematici (2012)

  • Volume: 104, Issue: 1, page 1-11
  • ISSN: 0066-2216

Abstract

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We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.

How to cite

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Sheng Li, Zongsheng Gao, and Jilong Zhang. "Entire functions that share values or small functions with their derivatives." Annales Polonici Mathematici 104.1 (2012): 1-11. <http://eudml.org/doc/280369>.

@article{ShengLi2012,
abstract = {We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.},
author = {Sheng Li, Zongsheng Gao, Jilong Zhang},
journal = {Annales Polonici Mathematici},
keywords = {uniqueness theory; Nevanlinna deficiency; shared values},
language = {eng},
number = {1},
pages = {1-11},
title = {Entire functions that share values or small functions with their derivatives},
url = {http://eudml.org/doc/280369},
volume = {104},
year = {2012},
}

TY - JOUR
AU - Sheng Li
AU - Zongsheng Gao
AU - Jilong Zhang
TI - Entire functions that share values or small functions with their derivatives
JO - Annales Polonici Mathematici
PY - 2012
VL - 104
IS - 1
SP - 1
EP - 11
AB - We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.
LA - eng
KW - uniqueness theory; Nevanlinna deficiency; shared values
UR - http://eudml.org/doc/280369
ER -

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