Some Normality Criteria for Families of Meromorphic Functions  

作　　者：Chen Jun-fan Cai Xiao-hua 

机构地区：[1]Department of Mathematics,Fujian Normal University

出　　处：《Communications in Mathematical Research》2018年第2期125-132,共8页数学研究通讯（英文版）

基　　金：The NSF(11301076)of China;the NSF(2014J01004) of Fujian Province

摘　　要：Let κ be a positive integer and F be a family of meromorphic functions in a domain D such that for each f ∈ F, all poles of f are of multiplicity at least 2,and all zeros of f are of multiplicity at least κ + 1. Let α and b be two distinct finite complex numbers. If for each f ∈ F, all zeros of f;-α are of multiplicity at least 2,and for each pair of functions f, g ∈ F, f;and g;share b in D, then F is normal in D.Let κ be a positive integer and F be a family of meromorphic functions in a domain D such that for each f ∈ F, all poles of f are of multiplicity at least 2,and all zeros of f are of multiplicity at least κ + 1. Let α and b be two distinct finite complex numbers. If for each f ∈ F, all zeros of f^(κ)-α are of multiplicity at least 2,and for each pair of functions f, g ∈ F, f^(κ)and g^(κ) share b in D, then F is normal in D.

关 键 词：meromorphic function normal family multiple value shared value 

分 类 号：O1[理学—数学]