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.
@article{bwmeta1.element.doi-10_1515_math-2017-0102,
author = {Jun-Fan Chen},
title = {Uniqueness of meromorphic functions sharing two finite sets},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1244-1250},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0102}
}
Jun-Fan Chen. Uniqueness of meromorphic functions sharing two finite sets. Open Mathematics, Tome 15 (2017) pp. 1244-1250. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0102/