华东师范大学学报（自然科学版） >

2020 , Vol. 2020 >Issue 1: 1 - 6

DOI: https://doi.org/10.3969/j.issn.1000-5641.201811043

数学

亚纯函数的正规族与例外函数

  • 杨祺 ,
  • 杨锦华
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  • 新疆师范大学 数学科学学院, 乌鲁木齐 830054
杨祺,女,硕士,副教授,研究方向为复分析.E-mail:20534183@qq.com

收稿日期: 2018-11-16

  网络出版日期: 2020-01-13

基金资助

国家自然科学基金（11961068）；新疆维吾尔自治区自然科学基金（2016D01A059）

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Normal families of meromorphic functions and omitted functions

  • YANG Qi ,
  • YANG Jinhua
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  • School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830054, China

Received date: 2018-11-16

  Online published: 2020-01-13

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摘要

本文研究了涉及例外函数的亚纯函数的正规定则.我们利用P-Z引理，采用反证法，得到一个新的正规定则：若亚纯函数族的零点重级均大于等于3，则涉及例外函数的亚纯函数族是正规的.

关键词： 亚纯函数; 正规族; 例外函数

本文引用格式

杨祺 , 杨锦华 . 亚纯函数的正规族与例外函数[J]. 华东师范大学学报（自然科学版）, 2020 , 2020(1) : 1 -6 . DOI: 10.3969/j.issn.1000-5641.201811043

Abstract

In this paper, we study the normal criterion of meromorphic functions concerning omitted functions. By using P-Z lemma and the method of proof by contradiction, we obtain a new normal criterion: if the zeros of the families of meromorphic functions are all have multiplicity at least 3, then the families of meromorphic functions concerning omitted functions are normal.

Key words： meromorphic function; normal family; omitted function

参考文献

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