A Second Main Theorem on ℙn for difference operator

被引:0
|
作者
Pit-Mann Wong
Hiu-Fai Law
Philip P. W. Wong
机构
[1] University of Notre Dame,Department of Mathematics
[2] University of Hong Kong,Department of Mathematics
来源
Science in China Series A: Mathematics | 2009年 / 52卷
关键词
finite difference; Second Main Theorem; finite order; ramification; 30D25; 30D35; 32H22; 32H30;
D O I
暂无
中图分类号
学科分类号
摘要
The main result of this article is an extension of the Second Main Theorem, of Halburd and Korhonen, for meromorphic functions of finite order. Their result replaces the counting function of the ramification divisor Nramf(r) in the classical Second Main Theorem by the counting function of a finite difference divisor Npair(r). In this article, the Second Main Theorem of Halburd and Korhonen is extended to the case of holomorphic maps into ℙn of finite order.
引用
收藏
页码:2751 / 2758
页数:7
相关论文
共 50 条
  • [1] A Second Main Theorem on Pn for difference operator
    WONG Pit-Mann
    LAW Hiu-Fai
    WONG Philip P.W.
    Science China Mathematics, 2009, (12) : 2751 - 2758
  • [2] A Second Main Theorem on Pn for difference operator
    Wong Pit-Mann
    Law Hiu-Fai
    Wong, Philip P. W.
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (12): : 2751 - 2758
  • [3] Cartan's Second Main Theorem and Mason's Theorem for Jackson Difference Operator
    Huixin DAI
    Tingbin CAO
    Yezhou LI
    Chinese Annals of Mathematics,Series B, 2022, 43 (03) : 383 - 400
  • [4] Cartan’s Second Main Theorem and Mason’s Theorem for Jackson Difference Operator
    Huixin Dai
    Tingbin Cao
    Yezhou Li
    Chinese Annals of Mathematics, Series B, 2022, 43 : 383 - 400
  • [5] Cartan's Second Main Theorem and Mason's Theorem for Jackson Difference Operator
    Dai, Huixin
    Cao, Tingbin
    Li, Yezhou
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 43 (03) : 383 - 400
  • [6] A Difference Analogue of Cartan's Second Main Theorem for Meromorphic Mappings
    Thin, N. V.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2019, 54 (04): : 240 - 252
  • [7] A Difference Analogue of Cartan’s Second Main Theorem for Meromorphic Mappings
    N. V. Thin
    Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2019, 54 : 240 - 252
  • [8] DIFFERENCE ANALOGUES OF SECOND MAIN THEOREM AND PICARD TYPE THEOREM FOR SLOWLY MOVING PERIODIC TARGETS
    Pham, Duc thoan
    Nguyen, Dang tuyen
    Luong, Thi tuyet
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2023, 47 (05): : 755 - 775
  • [9] Difference analogues of the second main theorem for meromorphic functions in several complex variables
    Cao, Ting-Bin
    MATHEMATISCHE NACHRICHTEN, 2014, 287 (5-6) : 530 - 545
  • [10] Applications of difference analogue of Cartan’s second main theorem for holomorphic curves
    Renukadevi Sangappa Dyavanal
    The Journal of Analysis, 2020, 28 : 615 - 622