On a Family of 2-Variable Orthogonal Krawtchouk Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On a Family of 2-Variable Orthogonal Krawtchouk Polynomials
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| Creator |
Grünbaum, F.A.
Rahman, M. |
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| Description |
We give a hypergeometric proof involving a family of 2-variable Krawtchouk polynomials that were obtained earlier by Hoare and Rahman [SIGMA 4 (2008), 089, 18 pages] as a limit of the 9−j symbols of quantum angular momentum theory, and shown to be eigenfunctions of the transition probability kernel corresponding to a ''poker dice'' type probability model. The proof in this paper derives and makes use of the necessary and sufficient conditions of orthogonality in establishing orthogonality as well as indicating their geometrical significance. We also derive a 5-term recurrence relation satisfied by these polynomials.
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| Date |
2019-02-09T19:49:29Z
2019-02-09T19:49:29Z 2010 |
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| Type |
Article
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| Identifier |
On a Family of 2-Variable Orthogonal Krawtchouk Polynomials / F.A. Grünbaum, M. Rahman // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 19 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33C45 DOI:10.3842/SIGMA.2010.090 http://dspace.nbuv.gov.ua/handle/123456789/146521 |
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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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