VALUE DISTRIBUTION OF SOME q-DIFFERENCE POLYNOMIALS

被引：0
|
作者：
Xu, Na [1 ]
Zhong, Chun-Ping [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 01期
基金：
中国国家自然科学基金;
关键词：
q-difference polynomial; value distribution; entire function; MEROMORPHIC FUNCTIONS; NEVANLINNA THEORY; EQUATIONS; OPERATOR;
D O I：
10.4134/BKMS.2016.53.1.029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a transcendental entire function f (z) with zero order, the purpose of this article is to study the value distributions of q-difference polynomial f (qz) - a(f(z))(n) and f (q1z) f (q2z) ... f (qmz) a(f(z))(n). The property of entire solution of a certain q-difference equation is also considered.
引用
收藏
页码：29 / 38
页数：10
相关论文
共 50 条
  • [41] Weight function approach to q-difference equations for the q-hypergeometric polynomials
    Hegazi, AS
    Mansour, M
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (01) : 237 - 250
  • [42] Weight Function Approach to q-Difference Equations for the q-Hypergeometric Polynomials
    A. S. Hegazi
    M. Mansour
    International Journal of Theoretical Physics, 2004, 43 : 237 - 250
  • [43] ON THE VALUE DISTRIBUTION OF DIFFERENCE POLYNOMIALS
    Tran Van Tan
    Nguyen Van Thin
    MATHEMATICAL REPORTS, 2018, 20 (02): : 161 - 170
  • [44] Value distribution of difference polynomials
    Laine, Ilpo
    Yang, Chung-Chun
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2007, 83 (08) : 148 - 151
  • [45] Growth of Meromorphic Solutions of Some q-Difference Equations
    Zhang, Guowei
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [46] On the absence of global solutions for some q-difference inequalities
    Aydi, Hassen
    Jleli, Mohamed
    Samet, Bessem
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [47] Zeros and uniqueness of Q-difference polynomials of meromorphic functions with zero order
    Cao, Ting-Bin
    Liu, Kai
    Xu, Na
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2014, 124 (04): : 533 - 549
  • [48] On lifting q-difference operators in the Askey scheme of basic hypergeometric polynomials
    Atakishiyeva, Mesuma
    Atakishiyev, Natig
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (14)
  • [49] Some properties of meromorphic function and its q-difference
    Wang, Hua
    Xu, Hong-Yan
    Zheng, Xiu-Min
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (01) : 71 - 81
  • [50] Zeros and uniqueness of Q-difference polynomials of meromorphic functions with zero order
    TING-BIN CAO
    KAI LIU
    NA XU
    Proceedings - Mathematical Sciences, 2014, 124 : 533 - 549
12345