A CLUNIE LEMMA FOR DIFFERENCE AND q-DIFFERENCE POLYNOMIALS

被引:15
|
作者
Huang, Zhi-Bo [1 ]
Chen, Zong-Xuan [1 ]
机构
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
Clunie lemma; difference polynomial; q-difference polynomial; EQUATIONS;
D O I
10.1017/S0004972709000811
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main purpose of this paper is to prove difference and q-difference counterparts of the Clunie lemma from the Nevanlinna theory of differential polynomials, where the difference and q-difference polynomials can contain many terms of maximal total degree in f (z) and its (q-)shifts.
引用
收藏
页码:23 / 32
页数:10
相关论文
共 50 条
  • [1] Clunie theorems for difference and q-difference polynomials
    Laine, Ilpo
    Yang, Chung-Chun
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2007, 76 : 556 - 566
  • [2] Value distribution of difference and q-difference polynomials
    Nan Li
    Lianzhong Yang
    Advances in Difference Equations, 2013
  • [3] Value distribution of difference and q-difference polynomials
    Li, Nan
    Yang, Lianzhong
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [4] Entire solutions of q-difference equations and value distribution of q-difference polynomials
    Zhang, Jilong
    Yang, Lianzhong
    ANNALES POLONICI MATHEMATICI, 2013, 109 (01) : 39 - 46
  • [5] q-Difference equation and q-polynomials
    Fang, Jian-Ping
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 248 : 550 - 561
  • [6] q-difference operators for orthogonal polynomials
    Ismail, Mourad E. H.
    Simeonov, Plamen
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (03) : 749 - 761
  • [7] Orthogonal polynomials satisfying Q-difference equations
    Haine, Luc
    Bilinear Integrable Systems: From Classical to Quatum, Continuous to Discrete, 2006, 201 : 97 - 112
  • [8] VALUE DISTRIBUTION OF SOME q-DIFFERENCE POLYNOMIALS
    Xu, Na
    Zhong, Chun-Ping
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 29 - 38
  • [9] Uniqueness of q-difference Polynomials of Meromorphic Functions
    Zhang, Keyu
    PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON COMPUTER AND INFORMATION APPLICATIONS (ICCIA 2012), 2012, : 1489 - 1492
  • [10] THE HOMOGENEOUS q-DIFFERENCE OPERATOR AND THE RELATED POLYNOMIALS
    Arif, M. A.
    Saad, H. L.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 (04): : 1537 - 1550