Classes of Bivariate Orthogonal Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Classes of Bivariate Orthogonal Polynomials
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| Creator |
Ismail, M.E.H.
Zhang, R. |
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| Description |
We introduce a class of orthogonal polynomials in two variables which generalizes the disc polynomials and the 2-D Hermite polynomials. We identify certain interesting members of this class including a one variable generalization of the 2-D Hermite polynomials and a two variable extension of the Zernike or disc polynomials. We also give q-analogues of all these extensions. In each case in addition to generating functions and three term recursions we provide raising and lowering operators and show that the polynomials are eigenfunctions of second-order partial differential or q-difference operators.
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| Date |
2019-02-14T18:08:54Z
2019-02-14T18:08:54Z 2016 |
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| Type |
Article
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| Identifier |
Classes of Bivariate Orthogonal Polynomials / M.E.H. Ismail, R. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 39 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33C50; 33D50; 33C45; 33D45 DOI:10.3842/SIGMA.2016.021 http://dspace.nbuv.gov.ua/handle/123456789/147415 |
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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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