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

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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	Martínez, C.
dc.contributor.author	Piñar, M.A.
dc.date.accessioned	2019-02-14T18:33:04Z
dc.date.available	2019-02-14T18:33:04Z
dc.date.issued	2016
dc.identifier.citation	Orthogonal 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33C50; 42C10
dc.identifier.other	DOI:10.3842/SIGMA.2016.020
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147433
dc.description.abstract	The 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.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. 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.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	Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA