Zero Distribution on Differential-Difference Polynomials of Exponential Type Functions

被引:3
作者
Liu, Kai [1 ]
Gao, Linkui [1 ]
Liu, Xinling [1 ,2 ]
机构
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Univ Eastern Finland, Dept Math & Phys, POB 111, Joensuu 80101, Finland
关键词
Exponential polynomials; Differential-difference polynomials; Value distribution;
D O I
10.1007/s40315-019-00290-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Exponential type functions are important subclasses of transcendental entire functions. In this paper, we will use some results given by Steinmetz (Manuscr Math 26:155-167, 1978) to consider the zeros of difference or differential-difference polynomials of exponential polynomials. In addition, we also consider the zeros of difference polynomials of exponential type functions with infinite order.
引用
收藏
页码:717 / 728
页数:12
相关论文
共 18 条
  • [11] The zero distribution and uniqueness of difference-differential polynomials
    Liu, Kai
    Liu, Xin-Ling
    Yang, Lian-Zhong
    [J]. ANNALES POLONICI MATHEMATICI, 2013, 109 (02) : 137 - 152
  • [12] Value distribution of the difference operator
    Liu, Kai
    Yang, Lian-Zhong
    [J]. ARCHIV DER MATHEMATIK, 2009, 92 (03) : 270 - 278
  • [13] The zeros of complex differential-difference polynomials
    Liu, Xinling
    Liu, Kai
    Zhou, Louchuan
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [14] Lü WR, 2016, KODAI MATH J, V39, P500
  • [15] On the zeros of exponential polynomials
    Ritt, J. F.
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1929, 31 (1-4) : 680 - 686
  • [16] The zeros on complex differential-difference polynomials of certain types
    Song, Changjiang
    Liu, Kai
    Ma, Lei
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [17] VALUE DISTRIBUTION OF EXPONENTIAL POLYNOMIALS
    STEINMETZ, N
    [J]. MANUSCRIPTA MATHEMATICA, 1978, 26 (1-2) : 155 - 167
  • [18] Yang C. C., 2003, Math. Appl., V557, DOI DOI 10.1007/978-94-017-3626-8