Orthogonality Relations for Multivariate Krawtchouk Polynomials

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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dc.contributor.author	Mizukawa, H.
dc.date.accessioned	2019-02-11T15:16:35Z
dc.date.available	2019-02-11T15:16:35Z
dc.date.issued	2011
dc.identifier.citation	Orthogonality Relations for Multivariate Krawtchouk Polynomials / H. Mizukawa // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33C45
dc.identifier.other	DOI:10.3842/SIGMA.2011.017
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146790
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	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	Orthogonality Relations for Multivariate Krawtchouk Polynomials	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA