A Normal Criterion Concerning Omitted Holomorphic Function

被引：2
|
作者：
Jin Hua YANG [1 ]
Qi YANG [1 ]
Xue Cheng PANG [2 ]
机构：
[1] School of Mathematical Sciences, Xinjiang Normal University
[2] Department of Mathematics, East China Normal
来源：
ActaMathematicaSinica | 2019年 / 35卷 / 12期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we continue to discuss the normality concerning omitted holomorphic function and get the following result. Let F be a family of meromorphic functions on a domain D, k ≥ 4 be a positive integer, and let a（z） and b（z） be two holomorphic functions on D, where a（z） ≡ 0 and f'（z） = ∞ whenever a（z） = 0. If for any f k∈ F, f（z）-a（z）fk（z） = b（z）, then F is normal on D.
引用
收藏
页码：1972 / 1978
页数：7
相关论文
共 50 条
  • [41] ON A CRITERION FOR THE UNIVALENCE OF HOLOMORPHIC-FUNCTIONS
    LAU, KW
    LIU, MC
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 80 (04) : 651 - 652
  • [42] Normal family and the sequence of omitted functions
    Chen QiaoYu
    Yang Liu
    Pang XueCheng
    SCIENCE CHINA-MATHEMATICS, 2013, 56 (09) : 1821 - 1830
  • [43] TOPOLOGICAL REDUCTION CRITERION FOR HOLOMORPHIC MAPPINGS
    SCHUMACHER, G
    MATHEMATISCHE ANNALEN, 1976, 220 (02) : 97 - 103
  • [44] A CRITERION FOR HOLOMORPHIC EXTENSION OF PRINCIPAL BUNDLES
    Biswas, Indranil
    KODAI MATHEMATICAL JOURNAL, 2011, 34 (01) : 71 - 78
  • [45] Normal families and omitted functions II
    Zhang, Guoming
    Pang, Xuecheng
    Zalcman, Lawrence
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 : 63 - 71
  • [46] Normal family and the sequence of omitted functions
    QiaoYu Chen
    Liu Yang
    XueCheng Pang
    Science China Mathematics, 2013, 56 : 1821 - 1830
  • [47] DISCRIMINATION OF ABNORMALITIES AND NORMAL CONDITIONS USING CRITERION FUNCTION
    Kotkar, Dhanashree
    Wagh, N. B.
    2014 6TH IEEE POWER INDIA INTERNATIONAL CONFERENCE (PIICON), 2014,
  • [48] A Normal Criterion about Two Families of Meromorphic Functions Concerning Shared Values
    Xiao Jun LIU
    San Hua LI
    Xue Cheng PANG
    Acta Mathematica Sinica,English Series, 2013, (01) : 151 - 158
  • [49] A normal criterion about two families of meromorphic functions concerning shared values
    Liu, Xiao Jun
    Li, San Hua
    Pang, Xue Cheng
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (01) : 151 - 158
  • [50] A NORMAL CRITERION ABOUT TWO FAMILIES OF MEROMORPHIC FUNCTIONS CONCERNING SHARED VALUES
    Ye, Yasheng
    Liu, Xiaojun
    Pang, Xuecheng
    HOUSTON JOURNAL OF MATHEMATICS, 2013, 39 (03): : 919 - 928
12345