Some further results on meromorphic functions that share two sets

Qi Han, and Hong-Xun Yi. "Some further results on meromorphic functions that share two sets." Annales Polonici Mathematici 93.1 (2008): 17-31. <http://eudml.org/doc/280272>.

@article{QiHan2008,
abstract = {This paper concerns the uniqueness of meromorphic functions and shows that there exists a set S ⊂ ℂ of eight elements such that any two nonconstant meromorphic functions f and g in the open complex plane ℂ satisfying $E_\{3)\}(S,f) = E_\{3)\}(S,g)$ and Ē(∞,f) = Ē(∞,g) are identical, which improves a result of H. X. Yi. Also, some other related results are obtained, which generalize the results of G. Frank, E. Mues, M. Reinders, C. C. Yang, H. X. Yi, P. Li, M. L. Fang and H. Guo, and others.},
author = {Qi Han, Hong-Xun Yi},
journal = {Annales Polonici Mathematici},
keywords = {entire function; meromorphic function; sharing sets; uniqueness},
language = {eng},
number = {1},
pages = {17-31},
title = {Some further results on meromorphic functions that share two sets},
url = {http://eudml.org/doc/280272},
volume = {93},
year = {2008},
}

TY - JOUR
AU - Qi Han
AU - Hong-Xun Yi
TI - Some further results on meromorphic functions that share two sets
JO - Annales Polonici Mathematici
PY - 2008
VL - 93
IS - 1
SP - 17
EP - 31
AB - This paper concerns the uniqueness of meromorphic functions and shows that there exists a set S ⊂ ℂ of eight elements such that any two nonconstant meromorphic functions f and g in the open complex plane ℂ satisfying $E_{3)}(S,f) = E_{3)}(S,g)$ and Ē(∞,f) = Ē(∞,g) are identical, which improves a result of H. X. Yi. Also, some other related results are obtained, which generalize the results of G. Frank, E. Mues, M. Reinders, C. C. Yang, H. X. Yi, P. Li, M. L. Fang and H. Guo, and others.
LA - eng
KW - entire function; meromorphic function; sharing sets; uniqueness
UR - http://eudml.org/doc/280272
ER -