A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices | |
Branquinho，A.1; Chen，Y.2; Filipuk，G.3; Rebocho，M. N.1,4 | |
2018-10-01 | |
Source Publication | Applied Mathematics and Computation |
ISSN | 0096-3003 |
Volume | 334Pages:356-366 |
Abstract | It is proved a characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices that states the equivalence between the Pearson equation for the weight and some systems involving the orthogonal polynomials as well as the functions of the second kind. As a consequence, it is deduced the analogue of the so-called compatibility conditions in the ladder operator scheme. The classical orthogonal polynomials on non-uniform lattices are then recovered under such compatibility conditions, through a closed formula for the recurrence relation coefficients. |
Keyword | Askey–Wilson operator Divided-difference operator Non-uniform lattices Orthogonal polynomials Semi-classical class |
DOI | 10.1016/j.amc.2018.04.022 |
URL | View the original |
Language | 英语 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | University of Macau |
Affiliation | 1.CMUC,Department of Mathematics,University of Coimbra,Coimbra,Apartado 3008, EC Santa Cruz,3001-501,Portugal 2.Faculty of Science and Technology,Department of Mathematics,University of Macau,Taipa,Av. Padre Tomás Pereira,Macao 3.Faculty of Mathematics,Informatics and Mechanics,University of Warsaw,Warsaw,Banacha 2,02–097,Poland 4.Departamento de Matemática,Universidade da Beira Interior,Covilhã,6201-001,Portugal |
Recommended Citation GB/T 7714 | Branquinho，A.,Chen，Y.,Filipuk，G.,et al. A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices[J]. Applied Mathematics and Computation,2018,334:356-366. |
APA | Branquinho，A.,Chen，Y.,Filipuk，G.,&Rebocho，M. N..(2018).A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices.Applied Mathematics and Computation,334,356-366. |
MLA | Branquinho，A.,et al."A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices".Applied Mathematics and Computation 334(2018):356-366. |
Files in This Item: | ||||||
There are no files associated with this item. |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment