{"title":"关于伽马函数和卷积的说明","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":"{\"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}","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}
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
