作为覆盖图的 $$*$$ - 指数

IF 0.6 4区数学 Q3 MATHEMATICS

Computational Methods and Function Theory Pub Date : 2024-08-17 DOI:10.1007/s40315-024-00558-z

Amedeo Altavilla, Samuele Mongodi

{"title":"作为覆盖图的 $$*$$ - 指数","authors":"Amedeo Altavilla, Samuele Mongodi","doi":"10.1007/s40315-024-00558-z","DOIUrl":null,"url":null,"abstract":"We employ tools from complex analysis to construct the \$*\$-logarithm of a quaternionic slice regular function. Our approach enables us to achieve three main objectives: we compute the monodromy associated with the \$*\$-exponential; we establish sufficient conditions for the \$*\$-product of two \$*\$-exponentials to also be a \$*\$-exponential; we calculate the slice derivative of the \$*\$-exponential of a regular function.\n","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The $$*$$ -Exponential as a Covering Map\",\"authors\":\"Amedeo Altavilla, Samuele Mongodi\",\"doi\":\"10.1007/s40315-024-00558-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We employ tools from complex analysis to construct the \\\$*\\\$-logarithm of a quaternionic slice regular function. Our approach enables us to achieve three main objectives: we compute the monodromy associated with the \\\$*\\\$-exponential; we establish sufficient conditions for the \\\$*\\\$-product of two \\\$*\\\$-exponentials to also be a \\\$*\\\$-exponential; we calculate the slice derivative of the \\\$*\\\$-exponential of a regular function.\\n\",\"PeriodicalId\":49088,\"journal\":{\"name\":\"Computational Methods and Function Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-08-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational Methods and Function Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s40315-024-00558-z\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Methods and Function Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40315-024-00558-z","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们运用复分析的工具来构造四元片正则函数的（*）-对数。我们的方法使我们能够实现三个主要目标：我们计算了与$*$-指数相关的单色性；我们建立了两个$*$-指数的$*$-乘积也是$*$-指数的充分条件；我们计算了正则函数的$*$-指数的切片导数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The $$*$$ -Exponential as a Covering Map

We employ tools from complex analysis to construct the $*$-logarithm of a quaternionic slice regular function. Our approach enables us to achieve three main objectives: we compute the monodromy associated with the $*$-exponential; we establish sufficient conditions for the $*$-product of two $*$-exponentials to also be a $*$-exponential; we calculate the slice derivative of the $*$-exponential of a regular function.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Computational Methods and Function Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CMFT is an international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and current interest can be considered for publication as well.