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Normal Families and Shared Values of Meromorphic Functions

Chao Meng
경북대학교 자연과학대학 수학과|2008.06|Kyungpook Mathematical Journal|제48권 제2호|pp. 317-321

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참고문헌

키워드

meromorphic functionshared valuenormal family
주제분류수학

초록

Some criteria for determining the normality of the family F of meromorphic functions in the unit disc, which share values depending on f ∈ F with their derivatives is obtained. The new results in this paper improve some earlier related results given by Pang and Zalcman [3], Fang and Zalcman [2], A. P. Singh and A. Singh [5].

Abstract

Some criteria for determining the normality of the family F of meromorphic functions in the unit disc, which share values depending on f ∈ F with their derivatives is obtained. The new results in this paper improve some earlier related results given by Pang and Zalcman [3], Fang and Zalcman [2], A. P. Singh and A. Singh [5].

참고문헌 (5)

  1. A. F. Beardon, "Iteration of Rational Functions" (1991), Springer-Verlag, New York
  2. M. L. Fang, "Normal families and shared values of meromorphic functions II", Comput. Methods Funct. Theory, 1, pp.289~299 (2001)
  3. X. C. Pang, "Normality and shared values", Arkiv Math, 38, pp.171~182 (2000)
  4. W. Schwick, "Sharing values and normality (Basel)", Arch Math, 59, pp.50~54 (1992)
  5. A. P. Singh, "Sharing values and normality of meromorphic fucntions", Complex Variables Theory Appl, 49, pp.417~425 (2004)

관련 논문AI추천

Normality concerning two families of meromorphic functionsBanarsi Lal, Virender Singh대한수학회 · 대한수학회논문집2020 · 제35권 제4호Normality criteria for a family of meromorphic functions with multiple zerosGopal Datt, Poonam Rani, Yuntong Li대한수학회 · 대한수학회논문집2018 · 제33권 제3호Further Results about the Normal Family of Meromorphic Functions and Shared SetsGuowei Zhang, Jianming Qi, Linlin Zhou경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호Notes on normal families of meromorphic functions sharing a set with their derivativesHong-Xun Yi, Kai-Mei Wang, Xiao-Min Li대한수학회 · 대한수학회보2014 · 제51권 제6호The Normality of Meromorphic Functions with Multiple Zeros and Poles Concerning Sharing ValuesWang You-Ming경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호NORMAL FAMILIES AND SHARED HOLOMORPHIC FUNCTIONSFeng Lu대한수학회 · 대한수학회보2012 · 제49권 제1호

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