Entire functions that share a function with their first and second derivatives

Feng Lü; Junfeng Xu

Annales Polonici Mathematici (2012)

  • Volume: 104, Issue: 1, page 81-96
  • ISSN: 0066-2216

Abstract

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Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009).

How to cite

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Feng Lü, and Junfeng Xu. "Entire functions that share a function with their first and second derivatives." Annales Polonici Mathematici 104.1 (2012): 81-96. <http://eudml.org/doc/286606>.

@article{FengLü2012,
abstract = {Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009).},
author = {Feng Lü, Junfeng Xu},
journal = {Annales Polonici Mathematici},
keywords = {entire functions; Nevanlinna theory; uniqueness; normal family; differential equation},
language = {eng},
number = {1},
pages = {81-96},
title = {Entire functions that share a function with their first and second derivatives},
url = {http://eudml.org/doc/286606},
volume = {104},
year = {2012},
}

TY - JOUR
AU - Feng Lü
AU - Junfeng Xu
TI - Entire functions that share a function with their first and second derivatives
JO - Annales Polonici Mathematici
PY - 2012
VL - 104
IS - 1
SP - 81
EP - 96
AB - Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009).
LA - eng
KW - entire functions; Nevanlinna theory; uniqueness; normal family; differential equation
UR - http://eudml.org/doc/286606
ER -

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