ON THE COMPOSITION OF TRANSCENDENTAL ENTIRE AND MEROMORPHIC FUNCTIONS

被引:7
|
作者
BERGWEILER, W [1 ]
机构
[1] RHEIN WESTFAL TH AACHEN,LEHRSTUHL MATH 2,D-52056 AACHEN,GERMANY
关键词
MEROMORPHIC FUNCTION; ENTIRE FUNCTION; COMPOSITION; FACTORIZATION; FIXPOINT;
D O I
10.2307/2160951
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is proved that f(g) - R has infinitely many zeros if f is a transcendental meromorphic, g a transcendental entire, and R a non-constant rational function. The exponent of convergence of the sequence of zeros of f(g) - R is also estimated.
引用
收藏
页码:2151 / 2153
页数:3
相关论文
共 50 条
  • [21] Geometric rigidity of transcendental meromorphic functions
    Kotus, J
    Urbanski, M
    MATHEMATISCHE ZEITSCHRIFT, 2006, 253 (02) : 227 - 233
  • [22] GROWTH OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS
    LAHIRI, I
    SHARMA, DK
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1995, 26 (05): : 451 - 458
  • [23] A-POINTS OF ENTIRE AND MEROMORPHIC FUNCTIONS
    SINGH, SK
    SIEBEN, JT
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A106 - A106
  • [24] ASYMPTOTIC VALUES OF ENTIRE AND MEROMORPHIC FUNCTIONS
    张广厚
    Science China Mathematics, 1977, (06) : 720 - 739
  • [25] EXCEPTIONAL VALUES OF ENTIRE AND MEROMORPHIC FUNCTIONS
    NARAYANAN, KA
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES SECTION A, 1974, 80 (02): : 75 - 84
  • [27] ON FACTORIZATION OF CERTAIN ENTIRE AND MEROMORPHIC FUNCTIONS
    URABE, H
    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1986, 26 (02): : 177 - 190
  • [28] PROXIMATE ORDERS OF ENTIRE AND MEROMORPHIC FUNCTIONS
    SINGH, SK
    SIEBEN, JT
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A107 - A107
  • [29] Geometrically finite transcendental entire functions
    Alhamed, Mashael
    Rempe, Lasse
    Sixsmith, Dave
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2022, 106 (02): : 485 - 527
  • [30] Semigroups of transcendental entire functions and their dynamics
    DINESH KUMAR
    SANJAY KUMAR
    Proceedings - Mathematical Sciences, 2017, 127 : 349 - 360