Multivariate Orthogonal Polynomials and Modified Moment Functionals
Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel modifications obtained by adding to the moment functional a finite set of mass poin...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2016 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147849 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Multivariate Orthogonal Polynomials and Modified Moment Functionals / A.M. Delgado, L. Fernández, T.E. Pérez, M.A. Piñar // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 32 назв. — англ. |
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nasplib_isofts_kiev_ua-123456789-147849 |
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Delgado, A.M. Fernández, L. Pérez, T.E. Piñar, M.A. 2019-02-16T09:16:25Z 2019-02-16T09:16:25Z 2016 Multivariate Orthogonal Polynomials and Modified Moment Functionals / A.M. Delgado, L. Fernández, T.E. Pérez, M.A. Piñar // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 32 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33C50; 42C10 DOI:10.3842/SIGMA.2016.090 https://nasplib.isofts.kiev.ua/handle/123456789/147849 Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel modifications obtained by adding to the moment functional a finite set of mass points, or by multiplying it times a polynomial of total degree 2, respectively. Orthogonal polynomials associated with modified moment functionals will be studied, as well as the impact of the modification in useful properties of the orthogonal polynomials. Finally, some illustrative examples will be given. This paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/OPSFA2015.html. The authors are really grateful to the anonymous referees for their valuable suggestions and comments which led us to improve this paper. This work has been partially supported by MINECO of Spain and the European Regional Development Fund (ERDF) through grant MTM2014– 53171–P, and Junta de Andaluc´ıa grant P11–FQM–7276 and research group FQM–384. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Multivariate Orthogonal Polynomials and Modified Moment Functionals Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| spellingShingle |
Multivariate Orthogonal Polynomials and Modified Moment Functionals Delgado, A.M. Fernández, L. Pérez, T.E. Piñar, M.A. |
| title_short |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| title_full |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| title_fullStr |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| title_full_unstemmed |
Multivariate Orthogonal Polynomials and Modified Moment Functionals |
| title_sort |
multivariate orthogonal polynomials and modified moment functionals |
| author |
Delgado, A.M. Fernández, L. Pérez, T.E. Piñar, M.A. |
| author_facet |
Delgado, A.M. Fernández, L. Pérez, T.E. Piñar, M.A. |
| publishDate |
2016 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel modifications obtained by adding to the moment functional a finite set of mass points, or by multiplying it times a polynomial of total degree 2, respectively. Orthogonal polynomials associated with modified moment functionals will be studied, as well as the impact of the modification in useful properties of the orthogonal polynomials. Finally, some illustrative examples will be given.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147849 |
| citation_txt |
Multivariate Orthogonal Polynomials and Modified Moment Functionals / A.M. Delgado, L. Fernández, T.E. Pérez, M.A. Piñar // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 32 назв. — англ. |
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AT delgadoam multivariateorthogonalpolynomialsandmodifiedmomentfunctionals AT fernandezl multivariateorthogonalpolynomialsandmodifiedmomentfunctionals AT perezte multivariateorthogonalpolynomialsandmodifiedmomentfunctionals AT pinarma multivariateorthogonalpolynomialsandmodifiedmomentfunctionals |
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2025-12-07T18:17:49Z |
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