Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind
This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set. The emphasis is placed on the algebraic properties, such as the...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/1/62 |
| _version_ | 1797358449232707584 |
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| author | Jorge Arvesú Alejandro J. Quintero Roba |
| author_facet | Jorge Arvesú Alejandro J. Quintero Roba |
| author_sort | Jorge Arvesú |
| collection | DOAJ |
| description | This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set. The emphasis is placed on the algebraic properties, such as the raising operators, the Rodrigues-type formula, the explicit expression of the polynomials, and the nearest neighbor recurrence relations. |
| first_indexed | 2024-03-08T15:02:12Z |
| format | Article |
| id | doaj.art-31ee2d7a986342c79c43ce0f47c65fb4 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-08T15:02:12Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-31ee2d7a986342c79c43ce0f47c65fb42024-01-10T15:03:28ZengMDPI AGMathematics2227-73902023-12-011216210.3390/math12010062Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second KindJorge Arvesú0Alejandro J. Quintero Roba1Department of Mathematics, Universidad Carlos III de Madrid, Avda. de la Universidad, 30, 28911 Madrid, SpainDepartment of Mathematics, Baylor University, 1410 S 4th St, Waco, TX 76706, USAThis paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogs of Pascal distributions on a legged star-like set. The emphasis is placed on the algebraic properties, such as the raising operators, the Rodrigues-type formula, the explicit expression of the polynomials, and the nearest neighbor recurrence relations.https://www.mdpi.com/2227-7390/12/1/62Angelesco polynomialsclassical orthogonal polynomialsdiscrete orthogonal polynomialsmultiple orthogonal polynomialsMeixner polynomialsRodrigues-type formula |
| spellingShingle | Jorge Arvesú Alejandro J. Quintero Roba Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind Mathematics Angelesco polynomials classical orthogonal polynomials discrete orthogonal polynomials multiple orthogonal polynomials Meixner polynomials Rodrigues-type formula |
| title | Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind |
| title_full | Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind |
| title_fullStr | Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind |
| title_full_unstemmed | Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind |
| title_short | Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind |
| title_sort | nearest neighbor recurrence relations for meixner angelesco multiple orthogonal polynomials of the second kind |
| topic | Angelesco polynomials classical orthogonal polynomials discrete orthogonal polynomials multiple orthogonal polynomials Meixner polynomials Rodrigues-type formula |
| url | https://www.mdpi.com/2227-7390/12/1/62 |
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