Uniqueness of meromorphic functions sharing two finite sets

Jun-Fan Chen

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 1244-1250
  • ISSN: 2391-5455

Abstract

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We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross. Moreover, some examples are provided to demonstrate that all the conditions are necessary.

How to cite

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Jun-Fan Chen. "Uniqueness of meromorphic functions sharing two finite sets." Open Mathematics 15.1 (2017): 1244-1250. <http://eudml.org/doc/288491>.

@article{Jun2017,
abstract = {We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross. Moreover, some examples are provided to demonstrate that all the conditions are necessary.},
author = {Jun-Fan Chen},
journal = {Open Mathematics},
keywords = {Meromorphic function; Shared set; Order; Uniqueness},
language = {eng},
number = {1},
pages = {1244-1250},
title = {Uniqueness of meromorphic functions sharing two finite sets},
url = {http://eudml.org/doc/288491},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Jun-Fan Chen
TI - Uniqueness of meromorphic functions sharing two finite sets
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1244
EP - 1250
AB - We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross. Moreover, some examples are provided to demonstrate that all the conditions are necessary.
LA - eng
KW - Meromorphic function; Shared set; Order; Uniqueness
UR - http://eudml.org/doc/288491
ER -

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