Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations
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 fam...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147433 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862620447439323136 |
|---|---|
| author | Martínez, C. Piñar, M.A. |
| author_facet | Martínez, C. Piñar, M.A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T13:21:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147433 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:21:34Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Martínez, C. Piñar, M.A. 2019-02-14T18:33:04Z 2019-02-14T18:33:04Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/147433 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations Article published earlier |
| spellingShingle | Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations Martínez, C. Piñar, M.A. |
| title | Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations |
| title_full | Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations |
| title_fullStr | Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations |
| title_full_unstemmed | Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations |
| title_short | Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations |
| title_sort | orthogonal polynomials on the unit ball and fourth-order partial differential equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147433 |
| work_keys_str_mv | AT martinezc orthogonalpolynomialsontheunitballandfourthorderpartialdifferentialequations AT pinarma orthogonalpolynomialsontheunitballandfourthorderpartialdifferentialequations |