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Functional identities and their applications 函数恒等式及其应用
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2023-02-24 DOI: 10.1142/s1664360723300025
M. Brešar
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引用次数: 0
On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices 经典正交多项式与一类Hankel矩阵的Cholesky分解
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2023-02-23 DOI: 10.1142/s1664360723500066
M. Marriaga, Guillermo Vera de Salas, M. Latorre, Rubén Muñoz Alcázar
{"title":"On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices","authors":"M. Marriaga, Guillermo Vera de Salas, M. Latorre, Rubén Muñoz Alcázar","doi":"10.1142/s1664360723500066","DOIUrl":"https://doi.org/10.1142/s1664360723500066","url":null,"abstract":"Classical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second order linear recurrence relation. In this work, we use this characterization to link the theory of classical orthogonal polynomials and the study of Hankel matrices whose entries satisfy a second order linear recurrence relation. Using the recurrent character of the entries of such Hankel matrices, we give several characterizations of the triangular and diagonal matrices involved in their Cholesky factorization and connect them with a corresponding characterization of classical orthogonal polynomials.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82559517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
An approach to elliptic equations with nonlinear gradient terms via a modulation framework 用调制框架求解具有非线性梯度项的椭圆方程
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2023-02-03 DOI: 10.1142/s1664360723500030
L. Ferreira, Wender S. Lagoin
{"title":"An approach to elliptic equations with nonlinear gradient terms via a modulation framework","authors":"L. Ferreira, Wender S. Lagoin","doi":"10.1142/s1664360723500030","DOIUrl":"https://doi.org/10.1142/s1664360723500030","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91347016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Classification of solutions for mixed order conformally system with Hartree type nonlinearity in ℝn 含Hartree型非线性的混合阶共形系统解的分类
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2023-01-06 DOI: 10.1142/s1664360723500029
Yuxia Guo, Shaolong Peng
{"title":"Classification of solutions for mixed order conformally system with Hartree type nonlinearity in ℝn","authors":"Yuxia Guo, Shaolong Peng","doi":"10.1142/s1664360723500029","DOIUrl":"https://doi.org/10.1142/s1664360723500029","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88353894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Perfect JC-algebras 完美JC-algebras
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2022-12-15 DOI: 10.1142/s1664360723500017
F. Jamjoom
{"title":"Perfect JC-algebras","authors":"F. Jamjoom","doi":"10.1142/s1664360723500017","DOIUrl":"https://doi.org/10.1142/s1664360723500017","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76156359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Author index Volume 12 (2022) 作者索引第12卷(2022年)
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2022-12-01 DOI: 10.1142/s1664360722990016
{"title":"Author index Volume 12 (2022)","authors":"","doi":"10.1142/s1664360722990016","DOIUrl":"https://doi.org/10.1142/s1664360722990016","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79422186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Analysis of contact cauchy-riemann maps III: energy, bubbling and fredholm theory 接触柯西-黎曼图分析III:能量、冒泡和fredholm理论
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2022-11-04 DOI: 10.1142/s1664360722500114
Yong-Geun Oh
{"title":"Analysis of contact cauchy-riemann maps III: energy, bubbling and fredholm theory","authors":"Yong-Geun Oh","doi":"10.1142/s1664360722500114","DOIUrl":"https://doi.org/10.1142/s1664360722500114","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75314170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 3
Application of the Moser-Trudinger inequality in the construction of global solutions to a strongly degenerate migration model Moser-Trudinger不等式在构造强退化迁移模型全局解中的应用
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2022-11-04 DOI: 10.1142/s1664360722500126
M. Winkler
{"title":"Application of the Moser-Trudinger inequality in the construction of global solutions to a strongly degenerate migration model","authors":"M. Winkler","doi":"10.1142/s1664360722500126","DOIUrl":"https://doi.org/10.1142/s1664360722500126","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85254818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 8
Comparative asymptotics for discrete semiclassical orthogonal polynomials 离散半经典正交多项式的比较渐近性
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2022-10-28 DOI: 10.1142/s1664360722500102
D. Dominici
{"title":"Comparative asymptotics for discrete semiclassical orthogonal polynomials","authors":"D. Dominici","doi":"10.1142/s1664360722500102","DOIUrl":"https://doi.org/10.1142/s1664360722500102","url":null,"abstract":"We study the ratio P n ( x ; z ) φ n ( x ) asymptotically as n → ∞ , where the polynomials P n ( x ; z ) are orthogonal with respect to a discrete linear functional and φ n ( x ) denote the falling factorial polynomials. We give recurrences that allow the computation of high order asymptotic expansions of P n ( x ; z ) and give examples for most discrete semiclassical polynomials of class s ≤ 2 . We show several plots illustrating the accuracy of our results.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90637036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
A short note about 1-width of Lens spaces 关于透镜空间1宽度的简短说明
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2022-08-24 DOI: 10.1142/s1664360722500059
M. Batista, A. Lima
{"title":"A short note about 1-width of Lens spaces","authors":"M. Batista, A. Lima","doi":"10.1142/s1664360722500059","DOIUrl":"https://doi.org/10.1142/s1664360722500059","url":null,"abstract":"In this note, we explore the nature of Lens spaces to study the first width of those spaces, more precisely, we use the existence of a sharp sweep out associated to a Clifford torus to provide a simple and pretty application of the Willmore conjecture for the computation of the [Formula: see text]-width of Lens spaces.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85190126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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