Orthogonal Basic Hypergeometric Laurent Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Orthogonal Basic Hypergeometric Laurent Polynomials
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| Creator |
Mourad E.H. Ismail
Stanton, D. |
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| Description |
The Askey-Wilson polynomials are orthogonal polynomials in x=cosθ, which are given as a terminating ₄∅₃ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in z=eiθ, which are given as a sum of two terminating ₄∅₃'s. They satisfy a biorthogonality relation. In this paper new orthogonality relations for single ₄∅₃'s which are Laurent polynomials in z are given, which imply the non-symmetric Askey-Wilson biorthogonality. These results include discrete orthogonality relations. They can be considered as a classical analytic study of the results for non-symmetric Askey-Wilson polynomials which were previously obtained by affine Hecke algebra techniques.
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| Date |
2019-02-18T17:43:17Z
2019-02-18T17:43:17Z 2012 |
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| Type |
Article
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| Identifier |
Orthogonal Basic Hypergeometric Laurent Polynomials / Mourad E.H. Ismail, D. Stanton // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 21 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33D45 DOI: http://dx.doi.org/10.3842/SIGMA.2012.092 http://dspace.nbuv.gov.ua/handle/123456789/148664 |
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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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