Orthogonality Relations for Multivariate Krawtchouk Polynomials
The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, 12 pages]. In this study, a simple proof of the necessary and sufficient condi...
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| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146790 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Orthogonality Relations for Multivariate Krawtchouk Polynomials / H. Mizukawa // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1467902019-02-12T01:23:15Z Orthogonality Relations for Multivariate Krawtchouk Polynomials Mizukawa, H. The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, 12 pages]. In this study, a simple proof of the necessary and sufficient condition of orthogonality is given for a general case. 2011 Article Orthogonality Relations for Multivariate Krawtchouk Polynomials / H. Mizukawa // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33C45 DOI:10.3842/SIGMA.2011.017 http://dspace.nbuv.gov.ua/handle/123456789/146790 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, 12 pages]. In this study, a simple proof of the necessary and sufficient condition of orthogonality is given for a general case. |
| format |
Article |
| author |
Mizukawa, H. |
| spellingShingle |
Mizukawa, H. Orthogonality Relations for Multivariate Krawtchouk Polynomials Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Mizukawa, H. |
| author_sort |
Mizukawa, H. |
| title |
Orthogonality Relations for Multivariate Krawtchouk Polynomials |
| title_short |
Orthogonality Relations for Multivariate Krawtchouk Polynomials |
| title_full |
Orthogonality Relations for Multivariate Krawtchouk Polynomials |
| title_fullStr |
Orthogonality Relations for Multivariate Krawtchouk Polynomials |
| title_full_unstemmed |
Orthogonality Relations for Multivariate Krawtchouk Polynomials |
| title_sort |
orthogonality relations for multivariate krawtchouk polynomials |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146790 |
| citation_txt |
Orthogonality Relations for Multivariate Krawtchouk Polynomials / H. Mizukawa // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT mizukawah orthogonalityrelationsformultivariatekrawtchoukpolynomials |
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2023-05-20T17:25:40Z |
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2023-05-20T17:25:40Z |
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