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Notes on normal families of meromorphic functions sharing a set with their derivatives

Xiao-Min Li|Hong-Xun Yi|Kai-Mei Wang
대한수학회 (The Korean Mathematical Society)|2014.11|대한수학회보 (Bulletin of the KMS)|제51권 제6호|pp. 1773-1789

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키워드

meromorphic functionsshared valuesshared setsnormal families
주제분류수학

초록

We study the normality of families of meromorphic functions sharing a set consisting of two or three distinct finite values to improve and extend Theorem 1 in Liu-Pang [15] and Theorem 1.1 in Liu-Chang [16]. Examples are provided to show that the results in this paper, in a sense, are the best possible.

Abstract

We study the normality of families of meromorphic functions sharing a set consisting of two or three distinct finite values to improve and extend Theorem 1 in Liu-Pang [15] and Theorem 1.1 in Liu-Chang [16]. Examples are provided to show that the results in this paper, in a sense, are the best possible.

참고문헌 (26)

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관련 논문AI추천

Normality concerning two families of meromorphic functionsBanarsi Lal, Virender Singh대한수학회 · 대한수학회논문집2020 · 제35권 제4호NORMAL FAMILIES AND SHARED HOLOMORPHIC FUNCTIONSFeng Lu대한수학회 · 대한수학회보2012 · 제49권 제1호Further Results about the Normal Family of Meromorphic Functions and Shared SetsGuowei Zhang, Jianming Qi, Linlin Zhou경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호The Normality of Meromorphic Functions with Multiple Zeros and Poles Concerning Sharing ValuesWang You-Ming경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Normal families of meromorphic functions with multiple valuesYuntong Li, Zhixiu Liu대한수학회 · 대한수학회보2017 · 제54권 제2호Set shared by an Entire Function with its k-th Derivative Using Normal FamiliesMolla Basir Ahamed경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호

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