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
  • [41] On the Riemann–Hilbert problem for difference and q-difference systems
    I. V. Vyugin
    R. I. Levin
    Proceedings of the Steklov Institute of Mathematics, 2017, 297 : 297 - 313
  • [42] ON p, q-DIFFERENCE OPERATOR
    Corcino, Roberto B.
    Montero, Charles B.
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (03) : 537 - 547
  • [43] SOLUTION OF Q-DIFFERENCE EQUATIONS
    YANG, KW
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1988, 20 : 1 - 4
  • [44] ON PROPERTIES OF q-DIFFERENCE EQUATIONS
    Zheng Xiumin
    Chen Zongxuan
    ACTA MATHEMATICA SCIENTIA, 2012, 32 (02) : 724 - 734
  • [45] A q-difference version of the ε-algorithm
    He, Yi
    Hu, Xing-Biao
    Tam, Hon-Wah
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (09)
  • [46] Fractional q-Difference Equations
    Ismail, Mourad
    Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : 223 - 270
  • [47] Linear q-difference equations
    Abu Risha, M. H.
    Annaby, M. H.
    Ismail, M. E. H.
    Mansour, Z. S.
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2007, 26 (04): : 481 - 494
  • [48] The homogeneous q-difference operator
    Chen, WYC
    Fu, AM
    Zhang, BY
    ADVANCES IN APPLIED MATHEMATICS, 2003, 31 (04) : 659 - 668
  • [49] ON PROPERTIES OF q-DIFFERENCE EQUATIONS
    郑秀敏
    陈宗煊
    Acta Mathematica Scientia, 2012, 32 (02) : 724 - 734
  • [50] Improved algorithms for solving difference and q-difference equations
    Khmel'nov, DE
    PROGRAMMING AND COMPUTER SOFTWARE, 2000, 26 (02) : 107 - 115