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 | |
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 | Orthogonal Polynomials Divided-difference Operator Non-uniform Lattices Askey-wilson Operator Semi-Classical Class |
DOI | 10.1016/j.amc.2018.04.022 |
URL | View the original |
Indexed By | SCI |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000432790300026 |
Publisher | ELSEVIER SCIENCE INC |
The Source to Article | WOS |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Corresponding Author | Rebocho, M. N. |
Affiliation | 1.CMUC, Department of Mathematics, University of Coimbra, Apartado 3008, EC Santa Cruz, Coimbra 3001-501, Portugal 2.Faculty of Science and Technology, Department of Mathematics, University of Macau, Av. Padre Tomás Pereira, Taipa, Macau, China 3.Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, Warsaw 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. |
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