Vidya Sharma and Nitin Dhange Vidya Sharma and Nitin Dhange
{"title":"INVERSION THEOREM ASSOCIATED WITH LINEAR CANONICAL-MELLIN TRANSFORM","authors":"Vidya Sharma and Nitin Dhange Vidya Sharma and Nitin Dhange","doi":"10.29369/ijrbat.2023.010.1.0057","DOIUrl":null,"url":null,"abstract":": The Linear canonical-Mellin transform is a mixed type of integral transform in which function is both linear canonical and Mellin transformable. Extension of some transformations to generalized functions have been done time to time and their properties have been studied by various mathematicians. However, there is much scope in extending double transformations to a certain class of generalized functions. In this paper, Linear Canonical-Mellin transform is extended in the distributional generalized sense and inversion theorem for Linear Canonical-Mellin transform is proved which can be used to retrieve original function to be transformed","PeriodicalId":14232,"journal":{"name":"International Journal of Researches in Biosciences and Agriculture Technology","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Researches in Biosciences and Agriculture Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29369/ijrbat.2023.010.1.0057","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
: The Linear canonical-Mellin transform is a mixed type of integral transform in which function is both linear canonical and Mellin transformable. Extension of some transformations to generalized functions have been done time to time and their properties have been studied by various mathematicians. However, there is much scope in extending double transformations to a certain class of generalized functions. In this paper, Linear Canonical-Mellin transform is extended in the distributional generalized sense and inversion theorem for Linear Canonical-Mellin transform is proved which can be used to retrieve original function to be transformed
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
