Meromorphic solutions of a kind of functional equations of Diophantine type

Ping Li; Xianyang Zhang

Annales Polonici Mathematici (2008)

  • Volume: 94, Issue: 3, page 265-273
  • ISSN: 0066-2216

Abstract

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We apply Nevanlinna's value distribution theory to show that some functional equations of Diophantine type have no admissible meromorphic solutions. This result confirms a recent conjecture of Li and Yang.

How to cite

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Ping Li, and Xianyang Zhang. "Meromorphic solutions of a kind of functional equations of Diophantine type." Annales Polonici Mathematici 94.3 (2008): 265-273. <http://eudml.org/doc/280772>.

@article{PingLi2008,
abstract = {We apply Nevanlinna's value distribution theory to show that some functional equations of Diophantine type have no admissible meromorphic solutions. This result confirms a recent conjecture of Li and Yang.},
author = {Ping Li, Xianyang Zhang},
journal = {Annales Polonici Mathematici},
keywords = {meromorphic function; functional equation; Nevanlinna theory},
language = {eng},
number = {3},
pages = {265-273},
title = {Meromorphic solutions of a kind of functional equations of Diophantine type},
url = {http://eudml.org/doc/280772},
volume = {94},
year = {2008},
}

TY - JOUR
AU - Ping Li
AU - Xianyang Zhang
TI - Meromorphic solutions of a kind of functional equations of Diophantine type
JO - Annales Polonici Mathematici
PY - 2008
VL - 94
IS - 3
SP - 265
EP - 273
AB - We apply Nevanlinna's value distribution theory to show that some functional equations of Diophantine type have no admissible meromorphic solutions. This result confirms a recent conjecture of Li and Yang.
LA - eng
KW - meromorphic function; functional equation; Nevanlinna theory
UR - http://eudml.org/doc/280772
ER -

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