A note on the Wiman-Valiron inequality

Karl-G. Grosse-Erdmann
{"title":"A note on the Wiman-Valiron inequality","authors":"Karl-G. Grosse-Erdmann","doi":"arxiv-2409.06499","DOIUrl":null,"url":null,"abstract":"The Wiman-Valiron inequality relates the maximum modulus of an analytic\nfunction to its Taylor coefficients via the maximum term. After a short\noverview of the known results, we obtain a general version of this inequality\nthat seems to have been overlooked in the literature so far. We end the paper\nwith an open problem.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"70 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06499","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

The Wiman-Valiron inequality relates the maximum modulus of an analytic function to its Taylor coefficients via the maximum term. After a short overview of the known results, we obtain a general version of this inequality that seems to have been overlooked in the literature so far. We end the paper with an open problem.
关于维曼-瓦隆不等式的说明
Wiman-Valiron 不等式通过最大项将解析函数的最大模与其泰勒系数联系起来。在简要回顾了已知结果之后,我们得到了这个不等式的一般版本,而迄今为止,这个不等式似乎一直被文献所忽略。最后,我们以一个开放性问题结束本文。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信