[1]涂 金,吕凤恒,江 杰.整函数与解析函数的最大模M(r,f)及其导函数M'(r,f)增长性比较[J].江西师范大学学报(自然科学版),2019,(04):331-335.[doi:10.16357/j.cnki.issn1000-5862.2019.04.01]
　TU Jin,LYU Fengheng,JIANG Jie.The Comparison on the Growth of the Maximum Moduli M(r,f)and Its Derivative Function M'(r,f)of Entire Function and Analytic Function[J].Journal of Jiangxi Normal University:Natural Science Edition,2019,(04):331-335.[doi:10.16357/j.cnki.issn1000-5862.2019.04.01]
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整函数与解析函数的最大模M(r,f)及其导函数M'(r,f)增长性比较()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2019年04期
页码:
331-335
栏目:
数学与应用数学
出版日期:
2019-08-10

文章信息/Info

Title:
The Comparison on the Growth of the Maximum Moduli M(r,f)and Its Derivative Function M'(r,f)of Entire Function and Analytic Function
文章编号:
1000-5862(2019)04-0331-05
作者:
涂 金1; 吕凤恒1; 江 杰2
1.江西师范大学数学与信息科学学院,江西 南昌 330022; 2.景德镇学院信息工程系,江西 景德镇 333000
Author(s):
TU Jin1; LYU Fengheng1; JIANG Jie2
1.College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 2.School of Information Engineering,Jingdexhen University,Jingdezhen Jiangxi 333000,China
关键词:
整函数;  解析函数;  最大模;  级;  型
Keywords:
entire function;  analytic function;  maximum moduli;  order;  type
分类号:
O 174.52
DOI:
10.16357/j.cnki.issn1000-5862.2019.04.01
文献标志码:
A
摘要:
利用整函数和单位圆内解析函数的级与型, 研究了解析函数与整函数最大模M(r,f)与其导函数M'(r,f)之间的增长关系, 并在一定条件下研究了单位圆解析函数精确型的存在性.
Abstract:
In this paper,the growth relationship between the maximum moduli M(r,f)and its derivative function M'(r,f)is investigated by the order and type of entire function and analytic function in the unit disc,where f(z)is an entire function or analytic function in the unit disc.And the existence of proximate type of analytic function in the unit disc is studied under some conditions.

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备注/Memo

备注/Memo:
收稿日期:2018-10-12
基金项目:国家自然科学基金(11561031),江西省自然科学基金(20161BAB201020)和江西省教育厅基金(GJJ151331, GJJ14272)资助项目.
作者简介:涂 金(1979-),男,江西鹰潭人,教授,博士,主要从事复分析研究.E-mail:tujin2008@sina.com
更新日期/Last Update: 2019-08-10