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
  • [21] Value distribution of q-difference differential polynomials of entire functions
    Xu, Na
    Cao, Ting-Bin
    Liu, Kai
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [22] q-Difference Equations
    Ismail, Mourad
    Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : 41 - 71
  • [23] Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations
    Barnett, D. C.
    Halburd, R. G.
    Morgan, W.
    Korhonen, R. J.
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 457 - 474
  • [24] ON EXISTENCE THEOREMS FOR DIFFERENCE AND Q-DIFFERENCE EQUATIONS
    TAUBER, S
    AMERICAN MATHEMATICAL MONTHLY, 1966, 73 (03): : 278 - &
  • [25] Solutions of complex difference and q-difference equations
    Wang, Yue
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [26] Solutions of complex difference and q-difference equations
    Yue Wang
    Advances in Difference Equations, 2016
  • [27] Generalized q-difference equations for (q, c)-hypergeometric polynomials and some applications
    Cao, Jian
    Zhou, Hong-Li
    Arjika, Sama
    RAMANUJAN JOURNAL, 2023, 60 (04): : 1033 - 1067
  • [28] Generalized q-difference equations for (q, c)-hypergeometric polynomials and some applications
    Jian Cao
    Hong-Li Zhou
    Sama Arjika
    The Ramanujan Journal, 2023, 60 : 1033 - 1067
  • [29] A q-Difference Equation and Fourier Series Expansions of q-Lidstone Polynomials
    Al-Towailb, Maryam
    SYMMETRY-BASEL, 2022, 14 (04):
  • [30] 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