{"title":"涉及不完全伽马函数的一些积分公式的概率证明","authors":"Robert E. Gaunt","doi":"10.1080/03610926.2024.2363870","DOIUrl":null,"url":null,"abstract":"The theory of normal variance mixture distributions is used to provide elementary derivations of closed-form expressions for the definite integrals ∫0∞x−2νcos(bx)γ(ν,αx2)dx (for ν>1/2, b > 0, α > ...","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A probabilistic proof of some integral formulas involving incomplete gamma functions\",\"authors\":\"Robert E. Gaunt\",\"doi\":\"10.1080/03610926.2024.2363870\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The theory of normal variance mixture distributions is used to provide elementary derivations of closed-form expressions for the definite integrals ∫0∞x−2νcos(bx)γ(ν,αx2)dx (for ν>1/2, b > 0, α > ...\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/03610926.2024.2363870\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03610926.2024.2363870","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A probabilistic proof of some integral formulas involving incomplete gamma functions
The theory of normal variance mixture distributions is used to provide elementary derivations of closed-form expressions for the definite integrals ∫0∞x−2νcos(bx)γ(ν,αx2)dx (for ν>1/2, b > 0, α > ...
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
