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Fourier transform of biorthogonal polynomials in one variable* 单变量双正交多项式的傅里叶变换*
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-09-08 DOI: 10.1080/10652469.2024.2399520
Esra Güldoğan Lekesız, Bayram Çekım
{"title":"Fourier transform of biorthogonal polynomials in one variable*","authors":"Esra Güldoğan Lekesız, Bayram Çekım","doi":"10.1080/10652469.2024.2399520","DOIUrl":"https://doi.org/10.1080/10652469.2024.2399520","url":null,"abstract":"In this paper, some new families of biorthogonal functions in one variable produced by using Fourier transforms of biorthogonal polynomials, which are suggested by Laguerre, Jacobi and Szegö–Hermit...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"54 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221745","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
Convolution theorem for the windowed linear canonical transform 带窗线性典型变换的卷积定理
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-09-08 DOI: 10.1080/10652469.2024.2400698
Wen-Biao Gao
{"title":"Convolution theorem for the windowed linear canonical transform","authors":"Wen-Biao Gao","doi":"10.1080/10652469.2024.2400698","DOIUrl":"https://doi.org/10.1080/10652469.2024.2400698","url":null,"abstract":"In this paper, we obtain the convolution theorems for the windowed linear canonical transform (WLCT). According to the WLCT of a convolution of two functions is the product of their respective WLCT...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"18 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221743","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
Optimal power-type Heronian and Lehmer means inequalities for the complete elliptic integrals 完全椭圆积分的最优幂型赫伦和雷默均值不等式
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-08-23 DOI: 10.1080/10652469.2024.2392281
Chen Hai-sheng, Zhu Ye-cheng
{"title":"Optimal power-type Heronian and Lehmer means inequalities for the complete elliptic integrals","authors":"Chen Hai-sheng, Zhu Ye-cheng","doi":"10.1080/10652469.2024.2392281","DOIUrl":"https://doi.org/10.1080/10652469.2024.2392281","url":null,"abstract":"In this paper, we prove that the inequalities Hp(K(r),E(r))<π2,Lq(K(r),E(r))<π2 hold for all r∈(0,1) if and only if p≤−log⁡3/log⁡(π/2) and q<−1, where Hp(a,b) and Lq(a,b) are respectively the p-th...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"9 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142262900","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 symmetric Dunkl-classical orthogonal polynomials revisited 再论对称邓克利古典正交多项式
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-08-08 DOI: 10.1080/10652469.2024.2389539
Khalfa Douak
{"title":"The symmetric Dunkl-classical orthogonal polynomials revisited","authors":"Khalfa Douak","doi":"10.1080/10652469.2024.2389539","DOIUrl":"https://doi.org/10.1080/10652469.2024.2389539","url":null,"abstract":"We investigate the symmetric Dunkl-classical orthogonal polynomials by using a new approach in connection with the Dunkl operator. The main aim of this technique is first and foremost to determine ...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"35 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937628","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
Generalized form of 2D-Laguerre polynomials 二维-拉盖尔多项式的广义形式
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-08-05 DOI: 10.1080/10652469.2024.2387752
Mohannad J. S. Shahwan, Maged G. Bin-Saad
{"title":"Generalized form of 2D-Laguerre polynomials","authors":"Mohannad J. S. Shahwan, Maged G. Bin-Saad","doi":"10.1080/10652469.2024.2387752","DOIUrl":"https://doi.org/10.1080/10652469.2024.2387752","url":null,"abstract":"The goal of this research is to present and investigate a novel class of 2D-Laguerre polynomials, which contains some well-known 2D-polynomials as special cases.We discuss its numerous features, in...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"6 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937621","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
New formulas for Maclaurin's series expansions of powers of arctangent and other related topics 麦考林反正切幂级数展开的新公式及其他相关主题
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-08-01 DOI: 10.1080/10652469.2024.2382810
A. V. Grishaev, V. F. Sazonov
{"title":"New formulas for Maclaurin's series expansions of powers of arctangent and other related topics","authors":"A. V. Grishaev, V. F. Sazonov","doi":"10.1080/10652469.2024.2382810","DOIUrl":"https://doi.org/10.1080/10652469.2024.2382810","url":null,"abstract":"The work proposes new formulas for Maclaurin's series expansions of natural and real powers of the arctangent and hyperbolic arctangent, a new explicit formula for the Meixner polynomial of the sec...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"132 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937623","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 Lommel polynomials and related formulas 洛梅尔多项式和相关公式
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-07-31 DOI: 10.1080/10652469.2024.2379529
Yu. A. Brychkov
{"title":"The Lommel polynomials and related formulas","authors":"Yu. A. Brychkov","doi":"10.1080/10652469.2024.2379529","DOIUrl":"https://doi.org/10.1080/10652469.2024.2379529","url":null,"abstract":"Properties of the Lommel polynomials Rn,ν(z) which appear in the theory of the Bessel functions, are studied. New functional relations for hypergeometric and Horn functions, including reduction for...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"30 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141937622","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
Parseval-Goldstein type theorems for the index Whittaker transform 索引惠特克变换的帕赛瓦尔-戈尔茨坦类型定理
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-07-30 DOI: 10.1080/10652469.2024.2386664
Jeetendrasingh Maan, E. R. Negrín
{"title":"Parseval-Goldstein type theorems for the index Whittaker transform","authors":"Jeetendrasingh Maan, E. R. Negrín","doi":"10.1080/10652469.2024.2386664","DOIUrl":"https://doi.org/10.1080/10652469.2024.2386664","url":null,"abstract":"This paper aims to derive Parseval-Goldstein type relations for the index Whittaker transform. Additionally, the study explores the continuity properties of both the index Whittaker transform and i...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"185 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142227280","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 novel integral identity for circular and diamond symmetric functions 圆形和菱形对称函数的新积分特性
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-07-17 DOI: 10.1080/10652469.2024.2378830
Aydin Behnad
{"title":"A novel integral identity for circular and diamond symmetric functions","authors":"Aydin Behnad","doi":"10.1080/10652469.2024.2378830","DOIUrl":"https://doi.org/10.1080/10652469.2024.2378830","url":null,"abstract":"A novel integral identity is introduced that can be applied to circular and diamond symmetric functions. It is demonstrated how this new identity and its alternative representations can be employed...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"203 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744741","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 fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential 分数多维贝塞尔变换及其在各向异性里兹-贝塞尔势中的作用
IF 1 3区 数学
Integral Transforms and Special Functions Pub Date : 2024-07-17 DOI: 10.1080/10652469.2024.2381148
F. Bouzeffour
{"title":"The fractional multi-dimensional Bessel transform and its role in anisotropic Riesz-Bessel potential","authors":"F. Bouzeffour","doi":"10.1080/10652469.2024.2381148","DOIUrl":"https://doi.org/10.1080/10652469.2024.2381148","url":null,"abstract":"This paper introduces an innovative fractional multidimensional Bessel transform, enhanced by a novel convolution structure. This integral transform parallels the established roles of the Fourier a...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"25 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744742","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
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