Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations
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| Creator |
Martínez, C.
Piñar, M.A. |
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| Description |
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.
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| Date |
2019-02-14T18:33:04Z
2019-02-14T18:33:04Z 2016 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 33C50; 42C10 DOI:10.3842/SIGMA.2016.020 http://dspace.nbuv.gov.ua/handle/123456789/147433 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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