A Normality Criterion for Sharing a Holomorphic Function

被引：0
|
作者：
Wang, Sheng [1 ]
Huang, Xiaojun [1 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 400031, Peoples R China
来源：
AXIOMS | 2024年 / 13卷 / 08期
关键词：
meromorphic function; shared values; normal families; NORMAL-FAMILIES; MEROMORPHIC FUNCTIONS; VALUES;
D O I：
10.3390/axioms13080538
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we scrutinize a collection of meromorphic functions known as normal families, prove the theorem that normal families share a holomorphic function, and present several illustrative counterexamples.
引用
收藏
页数：15
相关论文
共 50 条
  • [21] A Normal Criterion Concerning Omitted Holomorphic Function
    Yang, Jin Hua
    Yang, Qi
    Pang, Xue Cheng
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2019, 35 (12) : 1972 - 1978
  • [22] A Normal Criterion Concerning Omitted Holomorphic Function
    Jin Hua YANG
    Qi YANG
    Xue Cheng PANG
    ActaMathematicaSinica, 2019, 35 (12) : 1972 - 1978
  • [23] A normality criterion for families of holomorphic mappings under a condition of uniform boundedness of their tangent mappings
    Tran Van Tan
    BULLETIN DES SCIENCES MATHEMATIQUES, 2021, 170
  • [24] An entire function and its k-th derivatives satisfying normality criterion sharing a set of four elements
    Panja, Shantanu
    Banerjee, Abhijit
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2024,
  • [25] Normality of Composite Analytic Functions and Sharing an Analytic Function
    Wu, Qifeng
    Xiao, Bing
    Yuan, Wenjun
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [26] Normality of Composite Analytic Functions and Sharing an Analytic Function
    Qifeng Wu
    Bing Xiao
    Wenjun Yuan
    Fixed Point Theory and Applications, 2010
  • [27] Normality Criteria of Meromorphic Functions Sharing a Meromorphic Function
    Pai YANG
    Xue WANG
    Xuecheng PANG
    JournalofMathematicalResearchwithApplications, 2014, 34 (05) : 543 - 548
  • [28] NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION
    Sun, Cheng-Xiong
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2014, 38 (02): : 273 - 282
  • [29] On a normality criterion of Mandelbrojt
    Dovbush, P. V.
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (10) : 1388 - 1394
  • [30] A Criterion for the Sequence of Roots of Holomorphic Function with Restrictions on Its Growth
    E. B. Menshikova
    B. N. Khabibullin
    Russian Mathematics, 2020, 64 : 49 - 55
12345