武汉大学自然科学学报(英文版)2024,Vol.29Issue(1) :7-12.DOI:10.1051/wujns/2024291007

Meromorphic Functions Sharing Two Values

ZHAO Ying HUANG Zhigang
武汉大学自然科学学报(英文版)2024,Vol.29Issue(1) :7-12.DOI:10.1051/wujns/2024291007

Meromorphic Functions Sharing Two Values

ZHAO Ying 1HUANG Zhigang1
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作者信息

  • 1. School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu,China
  • 折叠

Abstract

Let f and g be two nonconstant meromorphic functions,and n be a positive integer.Iffn(z)and gn(z)share 1 CM(counting multiplicities),f(z)and g(z)share ∞ IM(ignoring multiplicities),and(N)(r,1/f)+(N)(r,1/g)=S(r,f)+S(r,g),then either f(z)=tg(z)or f(z)g(z)≡t,where tn=1.As an application,shared values problems of a meromorphic function related to its shifts and difference opera-tors are also investigated.

Key words

meromorphic function/shared values/difference operator/shift

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基金项目

National Natural Science Foundation of China(11971344)

出版年

2024
武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

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影响因子:0.066
ISSN:1007-1202
参考文献量21
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