Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations

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dc.contributor.authorMartínez, C.
dc.contributor.authorPiñar, M.A.
dc.date.accessioned2019-02-14T18:33:04Z
dc.date.available2019-02-14T18:33:04Z
dc.date.issued2016
dc.description.abstractThe purpose of this work is to analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes an additional term on the sphere. First, we will get connection formulas relating classical multivariate orthogonal polynomials on the ball with our family of orthogonal polynomials. Then, using the representation of these polynomials in terms of spherical harmonics, algebraic and differential properties will be deduced.uk_UA
dc.description.sponsorshipThis 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. We gratefully thanks the anonymous referees for their valuable comments and suggestions. This work has been partially supported by DGICYT, Ministerio de Econom´ıa y Competitividad (MINECO) of Spain and the European Regional Development Fund (ERDF) through grants MTM2011–28952–C02–02, MTM2014–53171–P, Reseach Project P11-FQM-7276 and Research Group FQM-384 from Junta de Andaluc´ıa.uk_UA
dc.identifier.citationOrthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations / C. Martínez, M.A. Piñar // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 12 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33C50; 42C10
dc.identifier.otherDOI:10.3842/SIGMA.2016.020
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147433
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleOrthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equationsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік