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Some Normality Criteria for Families of Meromorphic Functions

Some Normality Criteria for Families of Meromorphic Functions

作     者:Chen Jun-fan Cai Xiao-hua 

作者机构:Department of MathematicsFujian Normal University 

出 版 物:《Communications in Mathematical Research》 (数学研究通讯(英文版))

年 卷 期:2018年第34卷第2期

页      面:125-132页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

主  题:meromorphic function normal family multiple value shared value 

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.

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