Some Normality Criteria for Families of Meromorphic Functions
Some Normality Criteria for Families of Meromorphic Functions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.