{"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":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"10 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Statistics - Theory and Methods","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03610926.2024.2363870","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
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 > ...
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