{"title":"A Note on Gamma Function and Convolution","authors":"Francisco Mota","doi":"arxiv-2402.15842","DOIUrl":null,"url":null,"abstract":"In this note we explore the relationship between the operation of convolution\nof functions and the Eulerian integrals. This approach allow us to obtain some\nexpressions for the convolution of a certain class of functions in terms of the\nGamma Function as well as to derive some well known properties of the Gamma\nFunction by using the concept and properties of the convolution.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"282 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2402.15842","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
In this note we explore the relationship between the operation of convolution
of functions and the Eulerian integrals. This approach allow us to obtain some
expressions for the convolution of a certain class of functions in terms of the
Gamma Function as well as to derive some well known properties of the Gamma
Function by using the concept and properties of the convolution.
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