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 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.
@article{bwmeta1.element.bwnjournal-article-doi-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},
volume = {93},
year = {2008},
pages = {17-31},
zbl = {1160.30016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-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) pp. 17-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap93-1-2/