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періодичних видань НАН України
періодичних видань НАН України
On a Family of 2-Variable Orthogonal Krawtchouk Polynomials
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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| dc.contributor.author | Grünbaum, F.A. | |
| dc.contributor.author | Rahman, M. | |
| dc.date.accessioned | 2019-02-09T19:49:29Z | |
| dc.date.available | 2019-02-09T19:49:29Z | |
| dc.date.issued | 2010 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 33C45 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2010.090 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146521 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | We thank one referee in particular for a very methodical job that has rendered this into a more accurate paper. In an area where several people have made important contributions he has helped us tell the story properly. The research of the first author was supported in part by the Applied Math. Sciences subprogram of the Of fice of Energy Research, USDOE, under Contract DE-AC03-76SF00098, and by AFOSR under contract FA9550-08-1-0169. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | On a Family of 2-Variable Orthogonal Krawtchouk Polynomials | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
