UNIQUENESS OF DIFFERENCE-DIFFERENTIAL POLYNOMIALS OF ENTIRE FUNCTIONS SHARING ONE VALUE

被引:1
作者
Dyavanal, Renukadevi S. [1 ]
Hattikal, Ashwini M. [1 ]
机构
[1] Karnatak Univ, Dept Math, Dharwad 580003, Karnataka, India
来源
TAMKANG JOURNAL OF MATHEMATICS | 2016年 / 47卷 / 02期
关键词
Nevanlinna theory; Entire functions; Difference-differential polynomials; Sharing value; Uniqueness; etc;
D O I
10.5556/j.tkjm.47.2016.1853
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the uniqueness of difference-differential polynomials of entire functions f and g sharing one value with counting multiplicity. In this paper we extend and generalize the results of X.Y. Zhang, J.F. Chen and W.C. Lin [17], L. Kai, L. Xin-ling and C. Ting-bin [7] and many others [2, 16].
引用
收藏
页码:193 / 206
页数:14
相关论文
共 17 条
[1]   On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane [J].
Chiang, Yik-Man ;
Feng, Shao-Ji .
RAMANUJAN JOURNAL, 2008, 16 (01) :105-129
[2]  
Dyavanal R. S., 2014, APPL MATH SCI, V8, P3419
[3]   Uniqueness and value-sharing of entire functions [J].
Fang, ML .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (5-6) :823-831
[4]   Meromorphic solutions of difference equations, integrability and the discrete Painleve equations [J].
Halburd, R. G. ;
Korhonen, R. J. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (06) :R1-R38
[5]  
Halburd RG, 2006, ANN ACAD SCI FENN-M, V31, P463
[6]  
Hayman W K., 1964, MEROMORPHIC FUNCTION
[7]  
Lahiri I, 2004, J INEQUAL PURE APPL, V5, P1
[8]   Value distribution of difference polynomials [J].
Laine, Ilpo ;
Yang, Chung-Chun .
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2007, 83 (08) :148-151
[9]   Some results on zeros and uniqueness of difference-differential polynomials [J].
Liu Kai ;
Liu Xin-ling ;
Cao Ting-bin .
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2012, 27 (01) :94-104
[10]   Value distribution of the difference operator [J].
Liu, Kai ;
Yang, Lian-Zhong .
ARCHIV DER MATHEMATIK, 2009, 92 (03) :270-278