This paper concerns the uniqueness of
meromorphic functions and shows that there exists a set
${\bf S}\subset\mathbb{C}$ of eight elements such that any two nonconstant
meromorphic functions $f$ and $g$ in the open complex plane
$\mathbb{C}$ satisfying
$E_{3)}({\bf S},f)=E_{3)}({\bf S},g)$ and $\overline
E(\infty,f)=\overline E(\infty,g)$ 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.
Keywords:
paper concerns uniqueness meromorphic functions shows there exists set subset mathbb eight elements nonconstant meromorphic functions complex plane mathbb satisfying overline infty overline infty identical which improves result other related results obtained which generalize results frank mues reinders yang fang guo others
Affiliations des auteurs :
Qi Han
1
;
Hong-Xun Yi
1
1
School of Mathematics and System Sciences Shandong University Jinan 250100, Shandong, People's Republic of China
@article{10_4064_ap93_1_2,
author = {Qi Han and Hong-Xun Yi},
title = {Some further results on meromorphic functions that share two sets},
journal = {Annales Polonici Mathematici},
pages = {17--31},
year = {2008},
volume = {93},
number = {1},
doi = {10.4064/ap93-1-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap93-1-2/}
}
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
SP - 17
EP - 31
VL - 93
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/ap93-1-2/
DO - 10.4064/ap93-1-2
LA - en
ID - 10_4064_ap93_1_2
ER -
%0 Journal Article
%A Qi Han
%A Hong-Xun Yi
%T Some further results on meromorphic functions that share two sets
%J Annales Polonici Mathematici
%D 2008
%P 17-31
%V 93
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap93-1-2/
%R 10.4064/ap93-1-2
%G en
%F 10_4064_ap93_1_2
Qi Han; Hong-Xun Yi. Some further results on meromorphic functions that share two sets. Annales Polonici Mathematici, Tome 93 (2008) no. 1, pp. 17-31. doi: 10.4064/ap93-1-2
