作者机构：
[刘志宏; 李迎春] College of Mathematics, Honghe University;[黄斌] College of Mathematics and Computing Science, Changsha University of Science and Technology
摘要：
In this paper, we study normal families of holomorphic function concerning shared a polynomial.Let F be a family of holomorphic functions in a domain D, k(2)be a positive integer, K be a positive number andα(z)be a polynomial of degree p(p 1).For each f∈F and z∈D, if f and f sharedα(z)CM and|f(k)(z)|K whenever f(z)-α(z)=0 in D, then F is normal in D.
作者机构：
Changsha University of Science and Technology, China;Department of Applied Mathematics, College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410076, China;[Huang] Changsha University of Science and Technology, China, Department of Applied Mathematics, College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410076, China
通讯机构：
[Huang, B.] D;Department of Applied Mathematics, , Changsha 410076, China
期刊：
Indian Journal of Pure and Applied Mathematics,2004年35(3):359-372 ISSN：0019-5588
通讯作者：
Huang, B
作者机构：
[Huang, B] Wuhan Univ, Inst Math & Stat Sci, Wuhan 430072, Peoples R China.;[Huang, B] Changsha Univ Sci & Technol, Inst Math & Comp Sci, Changsha 4
通讯机构：
[Huang, B] W;Wuhan Univ, Inst Math & Stat Sci, Wuhan 430072, Peoples R China.
关键词：
Meromorphic Functions;Shared-Value
摘要：
The uniqueness of meromorphic functions that share three values IM and a fourth value CM is investigated, and the open question "if two nonconstant meromorphic functions share three values IM and a fourth value CM, then do the functions share all four values CM?" is partly resolved.
摘要：
Uniqueness theorems for meromorphic functions sharing four values are investigated,and a result that 'if two nonconstant meromorphic functions share four distinct values IM,then either they share all four values CM or else their counting functions satisfy some inequalities' is established.
