# Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

## Some further results on meromorphic functions that share two sets

### Tom 93 / 2008

Annales Polonici Mathematici 93 (2008), 17-31 MSC: Primary 30D35; Secondary 30D20, 30D30. DOI: 10.4064/ap93-1-2

#### Streszczenie

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.

#### Autorzy

• Qi HanSchool of Mathematics and System Sciences
Shandong University
Jinan 250100, Shandong, People's Republic of China
e-mail
• Hong-Xun YiSchool of Mathematics and System Sciences
Shandong University
Jinan 250100, Shandong, People's Republic of China
e-mail

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