{"title":"指数积分的 Puiseux 表示的另一种证明","authors":"Glenn Bruda","doi":"arxiv-2409.02949","DOIUrl":null,"url":null,"abstract":"Working from definitions and an elementarily obtained integral formula for\nthe Euler-Mascheroni constant, we give an alternative proof of the classical\nPuiseux representation of the exponential integral.","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"40 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An alternative proof of the Puiseux representation of the exponential integral\",\"authors\":\"Glenn Bruda\",\"doi\":\"arxiv-2409.02949\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Working from definitions and an elementarily obtained integral formula for\\nthe Euler-Mascheroni constant, we give an alternative proof of the classical\\nPuiseux representation of the exponential integral.\",\"PeriodicalId\":501502,\"journal\":{\"name\":\"arXiv - MATH - General Mathematics\",\"volume\":\"40 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - General Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.02949\",\"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 - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.02949","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An alternative proof of the Puiseux representation of the exponential integral
Working from definitions and an elementarily obtained integral formula for
the Euler-Mascheroni constant, we give an alternative proof of the classical
Puiseux representation of the exponential integral.