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
[41]   Uniqueness of meromorphic functions sharing two values [J].
Yin-Hong Cao ;
Xiao-Bin Zhang .
Journal of Inequalities and Applications, 2012
[42]   On uniqueness of meromorphic functions and their derivatives [J].
Meng, Chao ;
Li, Xu .
TBILISI MATHEMATICAL JOURNAL, 2020, 13 (02) :87-99
[43]   UNIQUENESS AND DIFFERENTIAL POLYNOMIALS OF MEROMORPHIC FUNCTIONS SHARING ONE VALUE [J].
Xia, Jiying ;
Xu, Yan .
FILOMAT, 2011, 25 (01) :185-194
[44]   Uniqueness of meromorphic functions sharing a small function and its applications [J].
Zhang, Xiao-Bin ;
Xu, Jun-Feng .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (03) :722-730
[45]   Uniqueness of meromorphic functions sharing one value or fixed points [J].
Zhang, X. B. .
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2014, 49 (06) :359-365
[46]   UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING SETS [J].
Bhoosnurmath, Subhas S. ;
Dyavanal, Renukadevi S. .
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (03) :200-208
[47]   ON UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING FIVE SMALL FUNCTIONS ON ANNULI [J].
Wu, N. ;
Ge, Q. .
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (03) :713-722
[48]   UNIQUENESS OF ENTIRE FUNCTIONS SHARING ONE SET [J].
Xiong, Wei-Ling ;
Zhang, Yi ;
Lin, Wei-Chuan .
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2014, 60 (02) :421-436
[49]   UNIQUENESS OF ENTIRE FUNCTIONS SHARING ONE VALUE [J].
林秀清 ;
林伟川 .
ActaMathematicaScientia, 2011, 31 (03) :1062-1076
[50]   UNIQUENESS OF ENTIRE FUNCTIONS SHARING ONE VALUE [J].
Lin Xiuqing ;
Lin Weichuan .
ACTA MATHEMATICA SCIENTIA, 2011, 31 (03) :1062-1076