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Integral Transforms and Special Functions最新文献

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On some formulas for the confluent Horn functions H3 (c) (a, b, c; d; w, z), H4 (c) (a, c; d; w, z) and H9 (c) (a, b; c; w, z) 关于合流Horn函数H3（c）（a，b，c；d；w，z）、H4
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-09-12 DOI: 10.1080/10652469.2022.2117807
Yu. A. Brychkov, N. Savischenko
{"title":"On some formulas for the confluent Horn functions H3 (c) (a, b, c; d; w, z), H4 (c) (a, c; d; w, z) and H9 (c) (a, b; c; w, z)","authors":"Yu. A. Brychkov, N. Savischenko","doi":"10.1080/10652469.2022.2117807","DOIUrl":"https://doi.org/10.1080/10652469.2022.2117807","url":null,"abstract":"ABSTRACT Some new relations for the confluent Horn functions , and are obtained including differentiation and integration formulas, series and reduction formulas. Some generating functions for various special functions are given in terms of these Horn functions.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"275 - 294"},"PeriodicalIF":1.0,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42418040","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}
引用次数: 1
On some properties of the Neumann polynomials 关于Neumann多项式的一些性质
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-09-12 DOI: 10.1080/10652469.2022.2118738
Yu. A. Brychkov, P. Sofotasios
{"title":"On some properties of the Neumann polynomials","authors":"Yu. A. Brychkov, P. Sofotasios","doi":"10.1080/10652469.2022.2118738","DOIUrl":"https://doi.org/10.1080/10652469.2022.2118738","url":null,"abstract":"Various relations including differentiation formulas, connection with hypergeometric functions, integral representations, formulas of summation and series representations for three types of Neumann polynomials are derived.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"316 - 333"},"PeriodicalIF":1.0,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46011738","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}
引用次数: 1
Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform 正则势和涉及线性正则傅里叶变换的Lp-Sobolev空间
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-09-12 DOI: 10.1080/10652469.2022.2118737
A. Prasad, Amit Kumar
{"title":"Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform","authors":"A. Prasad, Amit Kumar","doi":"10.1080/10652469.2022.2118737","DOIUrl":"https://doi.org/10.1080/10652469.2022.2118737","url":null,"abstract":"The main objective of this paper is to enrich the theoretical system of the linear canonical Fourier transform (LCFT) by introducing the canonical potential and corresponding -Sobolev space. Moreover, the Schwartz-type space is introduced. Further, pseudo-differential operator (PDO) is defined and obtained its another integral representation. The -boundedness result for the pseudo-differential operator associated with the LCFT is discussed. Some applications of Sobolev-type spaces and are given.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"295 - 315"},"PeriodicalIF":1.0,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46091228","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}
引用次数: 0
A note on the operator norm of the Laplace transformation 关于拉普拉斯变换的算子范数的注释
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-09-02 DOI: 10.1080/10652469.2022.2026351
T. Peachey
{"title":"A note on the operator norm of the Laplace transformation","authors":"T. Peachey","doi":"10.1080/10652469.2022.2026351","DOIUrl":"https://doi.org/10.1080/10652469.2022.2026351","url":null,"abstract":"Determination of the operator norm for the Laplace transformation, when operating on Lebesgue spaces, is a long unsolved problem. Recently Setterqvist gave an improved bound to that norm. This note shows how his result relates to a more general theorem, which also gives a related reverse inequality, and some other results of Hardy, Littlewood and Pólya.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"33 1","pages":"711 - 714"},"PeriodicalIF":1.0,"publicationDate":"2022-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41909204","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}
引用次数: 0
Generalization of Titchmarsh's theorem for the modified Whittaker transform Titchmarsh定理在改进Whittaker变换中的推广
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-08-28 DOI: 10.1080/10652469.2022.2116019
F. Soltani, S. Aledawish
{"title":"Generalization of Titchmarsh's theorem for the modified Whittaker transform","authors":"F. Soltani, S. Aledawish","doi":"10.1080/10652469.2022.2116019","DOIUrl":"https://doi.org/10.1080/10652469.2022.2116019","url":null,"abstract":"In this paper, using the generalized Whittaker translation established by Sousa et al., we shall prove a generalization version of Titchmarsh's theorem for the modified Whittaker transform for functions satisfying the Whittaker-Lipschitz condition in the appropriate space .","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"261 - 273"},"PeriodicalIF":1.0,"publicationDate":"2022-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43476781","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}
引用次数: 1
On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method 拉普拉斯变换方法中出现的多元Mittag-Leffler函数的一种变体
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-08-18 DOI: 10.1080/10652469.2022.2111420
A. Abilassan, J. Restrepo, D. Suragan
{"title":"On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method","authors":"A. Abilassan, J. Restrepo, D. Suragan","doi":"10.1080/10652469.2022.2111420","DOIUrl":"https://doi.org/10.1080/10652469.2022.2111420","url":null,"abstract":"By using the Laplace transform method, we revisit the multivariate Mittag-Leffler function as an effective tool to construct a solution for some classes of fractional differential equations with constant coefficients. To support our results, we discuss several particular cases related to classical fractional differential operators. The techniques are not only restricted to fractional derivative operators but also can be applied to general constant coefficient differential equations, including high-order ordinary differential equations.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"244 - 260"},"PeriodicalIF":1.0,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46357834","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}
引用次数: 4
Jacobi-type functions defined by fractional Bessel derivatives 由分数贝塞尔导数定义的雅可比型函数
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-08-12 DOI: 10.1080/10652469.2022.2108419
F. Bouzeffour, W. Jedidi
{"title":"Jacobi-type functions defined by fractional Bessel derivatives","authors":"F. Bouzeffour, W. Jedidi","doi":"10.1080/10652469.2022.2108419","DOIUrl":"https://doi.org/10.1080/10652469.2022.2108419","url":null,"abstract":"ABSTRACT For a class of even weight functions, generalizations of the classical Jacobi and Laguerre polynomials are defined via fractional Rodrigues' type formulas using the Bessel operators in the form . Their properties, including hypergeometric representation, differential recurrence relations and fractional boundary value problem, are investigated.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"228 - 243"},"PeriodicalIF":1.0,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45221138","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}
引用次数: 2
The generalized Fourier convolution on time scales 时间尺度上的广义傅立叶卷积
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-08-06 DOI: 10.1080/10652469.2022.2105323
S. Georgiev, V. Darvish
{"title":"The generalized Fourier convolution on time scales","authors":"S. Georgiev, V. Darvish","doi":"10.1080/10652469.2022.2105323","DOIUrl":"https://doi.org/10.1080/10652469.2022.2105323","url":null,"abstract":"In this paper, we deduct some properties of the Fourier transform on arbitrary time scales. We define the generalized shifting problem and we prove the existence of solutions. We define a generalized convolution on anarbitrary time scale and we deduct and prove the generalized convolution theorem.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"211 - 227"},"PeriodicalIF":1.0,"publicationDate":"2022-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48265917","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}
引用次数: 0
A convergent version of Watson's lemma for double integrals 沃森二重积分引理的收敛版
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-07-22 DOI: 10.1080/10652469.2022.2098955
Chelo Ferreira, J. López, Ester Pérez Sinusía
{"title":"A convergent version of Watson's lemma for double integrals","authors":"Chelo Ferreira, J. López, Ester Pérez Sinusía","doi":"10.1080/10652469.2022.2098955","DOIUrl":"https://doi.org/10.1080/10652469.2022.2098955","url":null,"abstract":"ABSTRACT A modification of Watson's lemma for Laplace transforms was introduced in [Nielsen, 1906], deriving a new asymptotic expansion for large with the extra property of being convergent as well. Inspired in that idea, in this paper we derive asymptotic expansions of two-dimensional Laplace transforms for large and that are also convergent. The expansions of are accompanied by error bounds. Asymptotic and convergent expansions of some special functions are given as illustration.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"196 - 210"},"PeriodicalIF":1.0,"publicationDate":"2022-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47542680","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}
引用次数: 0
The explicit solutions for a class of fractional Fourier–Laplace convolution equations 一类分数阶傅里叶-拉普拉斯卷积方程的显式解
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2022-07-19 DOI: 10.1080/10652469.2022.2093870
Q. Feng, S. Yuan
{"title":"The explicit solutions for a class of fractional Fourier–Laplace convolution equations","authors":"Q. Feng, S. Yuan","doi":"10.1080/10652469.2022.2093870","DOIUrl":"https://doi.org/10.1080/10652469.2022.2093870","url":null,"abstract":"In this paper, two types of fractional Fourier–Laplace convolutions are defined, and the corresponding fractional Fourier–Laplace convolution theorems associated with the fractional cosine transform (FRCT), fractional sine transform (FRST) and Laplace transform (LP) are investigated in detail. The relationship between the fractional Fourier–Laplace convolutions and the existing convolutions is given, and Young's type theorem as well as the weighted convolution inequality are also obtained. As an application for fractional Fourier–Laplace convolution, the filter design and the system of convolution-type integral equations are also considered, the computational complexity for the multiplicative filter is analysed, and explicit solutions for these equations are obtained.","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"34 1","pages":"128 - 144"},"PeriodicalIF":1.0,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48593304","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}
引用次数: 1
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