Some further results on meromorphic functions that share two sets

• Autorzy: Qi Han , Hong-Xun Yi
• Języki publikacji: EN

Abstrakty

EN

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 $E_{3)}(S,f) = E_{3)}(S,g)$ 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.

Kategorie tematyczne

• 30D30: Meromorphic functions, general theory
• 30D20: Entire functions, general theory
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 93
• Numer: 1
• Strony: 17-31

Daty

wydano

2008

Twórcy

autor

Qi Han

• School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, People's Republic of China

autor

Hong-Xun Yi

• School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, People's Republic of China

Identyfikatory

DOI

10.4064/ap93-1-2