Geodesic
Some further results on meromorphic functions that share two sets
Qi Han1 ; Hong-Xun Yi1
1 School of Mathematics and System Sciences Shandong University Jinan 250100, Shandong, People's Republic of China
Annales Polonici Mathematici, Tome 93 (2008) no. 1, pp. 17-31.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap93-1-2
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

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},
     publisher = {mathdoc},
     volume = {93},
     number = {1},
     year = {2008},
     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
PB  - mathdoc
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
%I mathdoc
%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. http://geodesic.mathdoc.fr/articles/10.4064/ap93-1-2/

Cité par Sources :