WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONS

被引:1
|
作者
Bhoosnurmath, Subhas S. [1 ]
Pujari, Veena L. [2 ]
机构
[1] Karnatak Univ, Dept Math, Dharwad 580003, Karnataka, India
[2] Vijaya Coll, Post Grad Dept Math, Bangalore 560004, Karnataka, India
关键词
uniqueness; meromorphic function; differential polynomial; weighted sharing; DIFFERENTIAL POLYNOMIALS;
D O I
10.4134/BKMS.2015.52.1.013
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the uniqueness problems of entire or meromorphic functions concerning differential polynomials that share one value with multiplicity using weighted sharing method. We prove two main theorems which generalize and improve the results of Fang and Fang [2], Dyavanal [1] and others and also solve the open problem posed by Dyavanal. This method yields some new results.
引用
收藏
页码:13 / 33
页数:21
相关论文
共 50 条
  • [31] UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONS CONCERNING DIFFERENTIAL POLYNOMIALS
    Chen, Jun-Fan
    Lin, Wei-Chuan
    Zhang, Xiao-Yu
    GEORGIAN MATHEMATICAL JOURNAL, 2009, 16 (03) : 449 - 463
  • [32] Uniqueness of Meromorphic Functions Sharing One Value
    Meng, Chao
    APPLIED MATHEMATICS E-NOTES, 2007, 7 : 199 - 205
  • [33] Uniqueness and Value-Sharing of Meromorphic Functions
    Waghamore, Harina P.
    Tanuja, A.
    KYUNGPOOK MATHEMATICAL JOURNAL, 2014, 54 (04): : 511 - 519
  • [34] Uniqueness of meromorphic functions sharing two values
    Cao, Yin-Hong
    Zhang, Xiao-Bin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [35] Uniqueness of meromorphic functions and their powers in set sharing
    Manjunath, B. E.
    Waghamore, Harina P.
    JOURNAL OF APPLIED ANALYSIS, 2024, 30 (01) : 157 - 172
  • [36] On the uniqueness of meromorphic functions sharing two sets
    Sahoo, Pulak
    Sarkar, Anjan
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 417 - 423
  • [37] On the uniqueness of meromorphic functions sharing two sets
    Pulak Sahoo
    Anjan Sarkar
    Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 417 - 423
  • [38] Uniqueness of meromorphic functions sharing one value
    Xu, Yan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) : 2692 - 2699
  • [39] Uniqueness of Meromorphic Functions Sharing One Set
    Qi Jian-ming and Yi Hong-xun (School of Mathematics
    CommunicationsinMathematicalResearch, 2010, 26 (04) : 353 - 360
  • [40] Uniqueness of Meromorphic Functions Sharing Fixed Point
    Bhoosnurmath, Subhas S.
    Pujari, Veena L.
    INTERNATIONAL JOURNAL OF ANALYSIS, 2013,