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Some Normality Criteria for Families of Meromorphic Functions

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【作者】 Chen Jun-fanCai Xiao-hua

【Author】 Chen Jun-fan;Cai Xiao-hua;Department of Mathematics,Fujian Normal University;

【机构】 Department of Mathematics,Fujian Normal University

【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 fκ-α are of multiplicity at least 2,and for each pair of functions f, g ∈ F, fκand gκ share b in D, then F is normal in D.

【基金】 The NSF(11301076)of China;the NSF(2014J01004) of Fujian Province
  • 【DOI】10.13447/j.1674-5647.2018.02.04
  • 【分类号】O174.52
  • 【下载频次】14
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