{"title":"On the zeros of derivatives of Bessel functions","authors":"Dimitris A. Frantzis, Chrysi G. Kokologiannaki, Eugenia N. Petropoulou","doi":"10.1080/10652469.2024.2325435","DOIUrl":"https://doi.org/10.1080/10652469.2024.2325435","url":null,"abstract":"The positive zeros of Jν‴(x) and Jν(n+1)(x) are studied by using classical analysis and the properties of Jν(x). It is proved that Jν‴(x) has a unique zero in specific intervals. Regarding Jν(n+1)(...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"37 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140098733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"New results on the associated Meixner, Charlier, and Krawtchouk polynomials","authors":"Khalid Ahbli","doi":"10.1080/10652469.2024.2322078","DOIUrl":"https://doi.org/10.1080/10652469.2024.2322078","url":null,"abstract":"We give new explicit formulas as well as new generating functions for the associated Meixner, Charlier, and Krawtchouk polynomials. The obtained results are then used to derive new generating funct...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"5 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140098524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approaching the Riemann hypothesis using Salem's equivalence and inversion formulae of a Widder–Lambert-type transform","authors":"B. J. González, E. R. Negrín","doi":"10.1080/10652469.2024.2321377","DOIUrl":"https://doi.org/10.1080/10652469.2024.2321377","url":null,"abstract":"In this paper, we obtain a Post-Widder-type inversion formula for a Widder–Lambert-type integral transform. We also obtain an Lp inversion formula, 1<p≤ 2, for this transform by means of the Mellin...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"211 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140006227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Linear canonical Fourier–Bessel wavelet transform: properties and inequalities","authors":"H. B. Mohamed, A. Saoudi","doi":"10.1080/10652469.2024.2317724","DOIUrl":"https://doi.org/10.1080/10652469.2024.2317724","url":null,"abstract":"The purpose of this paper is to introduce and study the linear canonical Fourier–Bessel wavelet transform. We prove an orthogonality relation, inversion formula and some inequality for linear canon...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"47 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139980807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a higher-order version of a formula due to Ramanujan","authors":"J. M. Campbell","doi":"10.1080/10652469.2024.2309203","DOIUrl":"https://doi.org/10.1080/10652469.2024.2309203","url":null,"abstract":"A special case of an Entry in Part II of Ramanujan's Notebooks is such that 1+15(12)2+19(1⋅32⋅4)2+⋯=Γ4(14)16π2.\u0000This formula leads us to consider the higher-order version of the above series given...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"72 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139679373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Uniqueness and stability for a seismic-type generalized Radon transform","authors":"Rim Gouia-Zarrad, Sunghwan Moon","doi":"10.1080/10652469.2024.2306652","DOIUrl":"https://doi.org/10.1080/10652469.2024.2306652","url":null,"abstract":"In this paper, we consider a generalized seismic Radon transform that maps a given function to its integrals over a certain family of curves in the plane. Such transforms arise in many areas of mat...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"67 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139645516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite transforms with applications to Bessel differential equations of order higher than two","authors":"Gabriel López Garza","doi":"10.1080/10652469.2024.2306651","DOIUrl":"https://doi.org/10.1080/10652469.2024.2306651","url":null,"abstract":"A finite transformation method is introduced. This method is equivalent to the Z transform method to a certain extent but generalizes it. By applying the presented method to the Bessel functions, i...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"9 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139645512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition","authors":"Mohamed Khalfallah","doi":"10.1080/10652469.2023.2296623","DOIUrl":"https://doi.org/10.1080/10652469.2023.2296623","url":null,"abstract":"In this work, we consider orthogonal polynomials via cubic decomposition in the framework of the third-degree semiclassical class. Based on their third-degree character, we give a complete descript...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"33 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139501013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mellin transform of shifted Airy functions and of their products","authors":"E. G. Abramochkin","doi":"10.1080/10652469.2023.2291811","DOIUrl":"https://doi.org/10.1080/10652469.2023.2291811","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":1.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138690376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the fractional space-time Fourier transforms","authors":"Youssef El Haoui, Mohra Zayed","doi":"10.1080/10652469.2023.2285295","DOIUrl":"https://doi.org/10.1080/10652469.2023.2285295","url":null,"abstract":"The notion of a fractional space-time Fourier transform (FSFT) is outlined in this paper, and the properties of invertibility, linearity, Plancherel and others are derived. By establishing the rela...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"33 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138690384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}