Pub Date : 2024-03-09DOI: 10.1080/10652469.2024.2325435
Dimitris A. Frantzis, Chrysi G. Kokologiannaki, Eugenia N. Petropoulou
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)(...
{"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}
Pub Date : 2024-03-06DOI: 10.1080/10652469.2024.2322078
Khalid Ahbli
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...
{"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}
Pub Date : 2024-02-21DOI: 10.1080/10652469.2024.2317724
H. B. Mohamed, A. Saoudi
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...
{"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}
Pub Date : 2024-02-01DOI: 10.1080/10652469.2024.2309203
J. M. Campbell
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. This formula leads us to consider the higher-order version of the above series given...
{"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}
Pub Date : 2024-01-30DOI: 10.1080/10652469.2024.2306652
Rim Gouia-Zarrad, Sunghwan Moon
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...
{"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}
Pub Date : 2024-01-30DOI: 10.1080/10652469.2024.2306651
Gabriel López Garza
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...
介绍一种有限变换方法。该方法在一定程度上等同于 Z 变换法，但对其进行了扩展。通过将所提出的方法应用于贝塞尔函数，我...
{"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}
Pub Date : 2024-01-19DOI: 10.1080/10652469.2023.2296623
Mohamed Khalfallah
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...
{"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}
Pub Date : 2023-12-13DOI: 10.1080/10652469.2023.2291811
E. G. Abramochkin
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...
{"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}
Pub Date : 2023-12-13DOI: 10.1080/10652469.2023.2285295
Youssef El Haoui, Mohra Zayed
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...
{"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}
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