{"title":"Some identities for Mellin, Kontorovich-Lebedev transforms with applications","authors":"A. Aghili","doi":"10.32513/tmj/19322008136","DOIUrl":null,"url":null,"abstract":"In this article, the author used Mellin and Kontorovich-Lebedev transforms to establish certain integrals involving Macdonald's functions. Transform method is a powerful tool for solving singular integral equations, evaluation of certain integrals and solution to partial differential equations. The result reveals that the transform method is very convenient and effective.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tbilisi Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32513/tmj/19322008136","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
In this article, the author used Mellin and Kontorovich-Lebedev transforms to establish certain integrals involving Macdonald's functions. Transform method is a powerful tool for solving singular integral equations, evaluation of certain integrals and solution to partial differential equations. The result reveals that the transform method is very convenient and effective.
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