涉及分担函数的两族正规性(英文)

The Normality of Two Families Concerning Shared Function

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摘要研究了涉及分担函数的两族正规性,得到了两个定理.这些定理改进了叶亚盛,刘晓俊和庞学诚的关于分担值的两族正规性的相关结果. The normality of two families of meromorphic functions concerning shared function is studied. Two related theorems are proved, which improve the results of Ye, Liu and Pang on two families of meromorphic functions with shared values.

作者方彩云

机构地区 (School of Mathematical Sciences

出处《复旦学报（自然科学版）》 CAS CSCD 北大核心 2014年第6期801-807,共7页 Journal of Fudan University：Natural Science

关键词分担值分担函数正规性全纯函数亚纯函数 shared value shared function normality holomorphic function meromorphic function

分类号 O174.5 [理学—基础数学]

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参考文献1

1Xiao Jun LIU,San Hua LI,Xue Cheng PANG.A Normal Criterion about Two Families of Meromorphic Functions Concerning Shared Values[J].Acta Mathematica Sinica,English Series,2013,29(1):151-158. 被引量：5

二级参考文献17

1Schwick, W.: Sharing values and nofmality. Arch. Math. (Basel), 59, 50-54 (1992).
2Liu, X. J., Pang, X. C.: Shared values and normal families. Acta Mathematica Sinica, Chinese Series, 50, 409412 (2007).
3Fang, IV[. L., Zalcman, L.: Normal families and shared values ofmeromorphic functions II. Comput. Methods Funct. Theory, 1, 289-299 (2001).
4Fang, M. L., Zalcman, L.: Normal families and shared values of meromorphic functions III. Comput. Methods Funct. Theory, 2, 385-395 (2002).
5Pang, X. C., Zalcman, L.: Normal families and shared values. Bull. London Math. Soc., 32,325-331 (2000).
6Clunie, J., Hayman, W. K.: The spherical derivative of integral and meromorphic functions. Comment. Math. Helv., 40, 117 148 (1966).
7Bergwiler, W., Eremenko, A. E.: On the singularities of the inverse to a meromerphic function of finite order. Roy. Mat. Iberoamericana, 11, 355-373 (1995).
8Wang, Y. F., Fang, M. L.: Picard values and normal families of meromerphic function with zeros. Acta Mathematica Sinica, English Series, 14, 1926 (1998).
9Hayman, W. K.: Meromorphic Functions, Clarendon Press, Oxford, 1964.
10Chang, J. M., Zalcman, L.: Meromorphic functions that share a set with their derivatives. J. Math. Anal. Appl., 338, 1020-1028 (2008).

共引文献4

1李运通,赖利平.涉及分担值的两个亚纯函数族的正规定则[J].广西科学,2014,21(2):196-198. 被引量：1
2吕凤姣,刘芝秀.分担集合的亚纯函数正规族[J].安徽师范大学学报（自然科学版）,2018,41(4):325-328.
3吕凤姣,刘芝秀.关于亚纯函数的正规族[J].四川师范大学学报（自然科学版）,2019,42(6):803-807.
4Daochun SUN,Yingying HUO,Fujie CHAI.NORMAL CRITERIA FOR A FAMILY OF HOLOMORPHIC CURVES[J].Acta Mathematica Scientia,2021,41(6):1887-1895.

1刘克笑.与分担值相关的正规性[J].贵州师范大学学报（自然科学版）,2010,28(3):69-72.
2李效敏,王凯梅,郎涛.涉及公共值和公共值集的亚纯函数的正规族[J].中国海洋大学学报（自然科学版）,2015,45(2):138-142.
3刘晓俊,陈爱江.正态分布函数值的近似求法[J].金融教学与研究,1998,0(2):62-63. 被引量：2

复旦学报（自然科学版）

2014年第6期

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涉及分担函数的两族正规性(英文)

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