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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146790 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Orthogonality Relations for Multivariate Krawtchouk Polynomials / H. Mizukawa // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862622066759434240 |
|---|---|
| author | Mizukawa, H. |
| author_facet | Mizukawa, H. |
| citation_txt | Orthogonality Relations for Multivariate Krawtchouk Polynomials / H. Mizukawa // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-30T02:47:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146790 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T02:47:33Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mizukawa, H. 2019-02-11T15:16:35Z 2019-02-11T15:16:35Z 2011 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 https://nasplib.isofts.kiev.ua/handle/123456789/146790 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. The author expresses his thanks to two referees for their careful reading. Without their many
 constructive comments and suggestions, this paper would not have been completed.
 This work was supported by KAKENHI 21740032. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Orthogonality Relations for Multivariate Krawtchouk Polynomials Article published earlier |
| spellingShingle | Orthogonality Relations for Multivariate Krawtchouk Polynomials Mizukawa, H. |
| title | 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_short | Orthogonality Relations for Multivariate Krawtchouk Polynomials |
| title_sort | orthogonality relations for multivariate krawtchouk polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146790 |
| work_keys_str_mv | AT mizukawah orthogonalityrelationsformultivariatekrawtchoukpolynomials |