Some further results on meromorphic functions that share two sets
Volume 93 / 2008
Annales Polonici Mathematici 93 (2008), 17-31
MSC: Primary 30D35; Secondary 30D20, 30D30.
DOI: 10.4064/ap93-1-2
Abstract
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.
