Meromorphic functions that share some pairs of small functions

Kodai Mathematical Journal

Chung-Chun Yang²  Ping Li¹ 

[1] Department of Mathematics University of Science and Technology of China;Department of Mathematics The Hong Kong University of Science and Technology

关键词: meromorphic function;    value sharing;    small functions;   

DOI  :  10.2996/kmj/1238594551

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(14)We discuss possible relations between two meromorphic functions f and g when they share some pairs of small functions. By utilizing the generalized Nevanlinna's second main theorem for small functions obtained recently, we have been able to show that two meromorphic functions f and g must be linked by a quasi-Möbius transformation if they share three pairs of small functions CM* and share another pair of small function IM*. Moreover, we also improves a known result due to T. Czubiak and G. Gundersen on two meromorphic functions sharing five pairs of values and the results on the unicity of meromorphic functions that share five small functions obtained by Li Bao-Qin and Li Yu-Hua as well.

【 授权许可】

Unknown