Value distribution and normality of meromorphic functions involving partial sharing of small functions

被引:4
作者
Charak, Kuldeep Singh [1 ]
Sharma, Shittal [1 ]
机构
[1] Univ Jammu, Dept Math, Jammu, India
关键词
Normal families; meromorphic functions; differential monomials; sharing of values; NORMAL-FAMILIES; CRITERIA;
D O I
10.3906/mat-1511-69
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we generalize a value distribution result and use it to prove a normality criterion using partial sharing of small functions. Further in the sequel, various known normality criteria are improved and generalized on the domain D := {z :vertical bar z vertical bar < R, 0 < R <= infinity}.
引用
收藏
页码:404 / 411
页数:8
相关论文
共 50 条
  • [31] Value Cross-Sharing of Meromorphic Functions
    Funa Wang
    Kai Liu
    Computational Methods and Function Theory, 2023, 23 : 807 - 828
  • [32] Meromorphic functions sharing small functions with their linear difference polynomials
    Li, Sheng
    Chen, BaoQin
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [33] Normality and quasinormality of zero-free meromorphic functions
    Chang, Jian Ming
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (04) : 707 - 716
  • [34] NORMALITY CRITERIA FOR A FAMILY OF MEROMORPHIC FUNCTIONS WITH MULTIPLE ZEROS
    Datt, Gopal
    Li, Yuntong
    Rani, Poonam
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (03): : 833 - 851
  • [35] Normality of meromorphic functions and differential polynomials share values
    Yuan, Wenjun
    Lai, Jinchun
    Huang, Zifeng
    Liu, Zhi
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [36] Normality of meromorphic functions and differential polynomials share values
    Wenjun Yuan
    Jinchun Lai
    Zifeng Huang
    Zhi Liu
    Advances in Difference Equations, 2014
  • [37] VALUE DISTRIBUTION OF DIFFERENCES OF MEROMORPHIC FUNCTIONS
    Liu, Kai
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (05) : 1567 - 1584
  • [38] Value distribution of a pair of meromorphic functions
    Liu, Qi
    Liu, Kai
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (02)
  • [39] The Normality of Meromorphic Functions with Multiple Zeros and Poles Concerning Sharing Values
    Wang You-Ming
    KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (03): : 641 - 652
  • [40] A note on partial sharing of values of meromorphic functions with their shifts
    Charak, K. S.
    Korhonen, R. J.
    Kumar, Gaurav
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 435 (02) : 1241 - 1248