一维(k,a)广义傅里叶核的乘积公式

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2023-01-16 DOI:10.1080/10652469.2023.2221774

B. Amri

{"title":"一维(k,a)广义傅里叶核的乘积公式","authors":"B. Amri","doi":"10.1080/10652469.2023.2221774","DOIUrl":null,"url":null,"abstract":"In this paper, a product formula for the one-dimensional -generalized Fourier kernel is given for , a>0 and , extending the special case of [Boubatra MA, Negzaoui S, Sifi M. A new product formula involving Bessel functions. Integral Transforms Spec Funct. 2022;33:247–263.] when , .","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"849 - 860"},"PeriodicalIF":0.7000,"publicationDate":"2023-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Product formula for the one-dimensional (k,a)-generalized Fourier kernel\",\"authors\":\"B. Amri\",\"doi\":\"10.1080/10652469.2023.2221774\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a product formula for the one-dimensional -generalized Fourier kernel is given for , a>0 and , extending the special case of [Boubatra MA, Negzaoui S, Sifi M. A new product formula involving Bessel functions. Integral Transforms Spec Funct. 2022;33:247–263.] when , .\",\"PeriodicalId\":54972,\"journal\":{\"name\":\"Integral Transforms and Special Functions\",\"volume\":\"34 1\",\"pages\":\"849 - 860\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-01-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Integral Transforms and Special Functions\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/10652469.2023.2221774\",\"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/10.1080/10652469.2023.2221774","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

本文给出了一维广义傅里叶核的积公式，并推广了[Boubatra MA, Negzaoui S, Sifi m]的特殊情况，得到了一个涉及贝塞尔函数的新的积公式。积分变换规范函数。2022;33:247-263。当，。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Product formula for the one-dimensional (k,a)-generalized Fourier kernel

In this paper, a product formula for the one-dimensional -generalized Fourier kernel is given for , a>0 and , extending the special case of [Boubatra MA, Negzaoui S, Sifi M. A new product formula involving Bessel functions. Integral Transforms Spec Funct. 2022;33:247–263.] when , .

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： 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.