{"title":"与傅立叶余弦正弦变换和 Kontorovich-Lebedev 变换相关的三角加权广义卷积算子","authors":"Trinh Tuan, Nguyen Thanh Hong","doi":"10.1080/10652469.2024.2341400","DOIUrl":null,"url":null,"abstract":"The main objective of this work is to introduce the generalized convolution with trigonometric weighted γ=siny involving the Fourier cosine–sine and Kontorovich–Lebedev transforms, and to study it...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"46 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Trigonometric weighted generalized convolution operator associated with Fourier cosine–sine and Kontorovich–Lebedev transformations\",\"authors\":\"Trinh Tuan, Nguyen Thanh Hong\",\"doi\":\"10.1080/10652469.2024.2341400\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main objective of this work is to introduce the generalized convolution with trigonometric weighted γ=siny involving the Fourier cosine–sine and Kontorovich–Lebedev transforms, and to study it...\",\"PeriodicalId\":54972,\"journal\":{\"name\":\"Integral Transforms and Special Functions\",\"volume\":\"46 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-04-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Integral Transforms and Special Functions\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/10652469.2024.2341400\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Integral Transforms and Special Functions","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10652469.2024.2341400","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Trigonometric weighted generalized convolution operator associated with Fourier cosine–sine and Kontorovich–Lebedev transformations
The main objective of this work is to introduce the generalized convolution with trigonometric weighted γ=siny involving the Fourier cosine–sine and Kontorovich–Lebedev transforms, and to study it...
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Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.
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