Pub Date : 2023-02-24DOI: 10.1142/s1664360723300025
M. Brešar
{"title":"Functional identities and their applications","authors":"M. Brešar","doi":"10.1142/s1664360723300025","DOIUrl":"https://doi.org/10.1142/s1664360723300025","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81051401","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}
Pub Date : 2023-02-23DOI: 10.1142/s1664360723500066
M. Marriaga, Guillermo Vera de Salas, M. Latorre, Rubén Muñoz Alcázar
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.
{"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}
Pub Date : 2023-02-03DOI: 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}
Pub Date : 2023-01-06DOI: 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}
Pub Date : 2022-12-01DOI: 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}
Pub Date : 2022-11-04DOI: 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}
Pub Date : 2022-10-28DOI: 10.1142/s1664360722500102
D. Dominici
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.
我们研究了比值pn (x;z) φ n (x)渐近为n→∞，其中多项式pn (x;Z)相对于离散线性泛函是正交的，φ n (x)表示下降阶乘多项式。我们给出了允许计算np (x)的高阶渐近展开式的递归式。Z)，并给出了s≤2类的大多数离散半经典多项式的例子。我们展示了几个图来说明我们的结果的准确性。
{"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}
Pub Date : 2022-08-24DOI: 10.1142/s1664360722500059
M. Batista, A. Lima
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.
{"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}
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