{"title":"Mellin transform of shifted Airy functions and of their products","authors":"E. G. Abramochkin","doi":"10.1080/10652469.2023.2291811","DOIUrl":null,"url":null,"abstract":"The Mellin transforms of some products of two shifted Airy functions are evaluated in a closed form. The relation between the Mellin transforms of a single Airy function and the square of the funct...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"86 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-12-13","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/10.1080/10652469.2023.2291811","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
The Mellin transforms of some products of two shifted Airy functions are evaluated in a closed form. The relation between the Mellin transforms of a single Airy function and the square of the funct...
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.
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