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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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Orthogonality Relations for Multivariate Krawtchouk Polynomials
Інший ID:
2010 Mathematics Subject Classification: 33C45
DOI:10.3842/SIGMA.2011.017
DOI:10.3842/SIGMA.2011.017
Посилання:
Orthogonality Relations for Multivariate Krawtchouk Polynomials / H. Mizukawa // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ.
Підтримка:
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.
Дата:
2011
Переглядів:
590
Завантажень:
322
Анотація:
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.
