Some further results on meromorphic functions that share two sets

Tom 93 / 2008

Qi Han, Hong-Xun Yi 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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