数学物理学报

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亚纯函数的因子分解

黄志波;孙道椿   

  1. 华南师范大学数学系;广州 510631
  • 收稿日期:2004-12-07 修回日期:2006-04-10 出版日期:2006-10-25 发布日期:2006-10-25
  • 通讯作者: 黄志波
  • 基金资助:
    国家自然科学基金(10471048),广东省自然科学基金(04010474)和高等学校博士学科专项科

On the Factorization of Meromorphic Functions

Huang Zhibo ; Sun Daochun   

  1. Department of Mathematics, South China Normal University, Guanzhou 510631
  • Received:2004-12-07 Revised:2006-04-10 Online:2006-10-25 Published:2006-10-25
  • Contact: Huang Zhibo

摘要: 该文研究复合意义下的亚纯函数的因子分解,完善文献[1]中定理1的证明,得出判断某些函数
为拟素的或 E -拟素的必要条件

关键词: 超越亚纯函数, 整函数, 拟素的, 聚结线, 聚点,

Abstract: In this paper, the authors study the factorization of meromorphic functions under the condition of composition of functions, obtain a perfect proof of the Theorem 1 in [1]and the necessary conditions of some pseudo-prime or E-pseudo-prime functions

Key words: Transcendental meromorphic founction, Entire founction, Pseudo-prime, Aggregation line, Cluster point, Order.