Multivariate Orthogonal Polynomials and Modified Moment Functionals

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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dc.contributor.author	Delgado, A.M.
dc.contributor.author	Fernández, L.
dc.contributor.author	Pérez, T.E.
dc.contributor.author	Piñar, M.A.
dc.date.accessioned	2019-02-16T09:16:25Z
dc.date.available	2019-02-16T09:16:25Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33C50; 42C10
dc.identifier.other	DOI:10.3842/SIGMA.2016.090
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147849
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Multivariate Orthogonal Polynomials and Modified Moment Functionals	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA