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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 017, 5 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.017 (Mi sigma575) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Orthogonality Relations for Multivariate Krawtchouk Polynomials

Hiroshi Mizukawa

Department of Mathematics, National Defense Academy of Japan, Yokosuka 239-8686, Japan
Full-text PDF (290 kB) Citations (11)
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DOI: https://doi.org/10.3842/SIGMA.2011.017
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 [<i>SIGMA</i> <b>6</b> (2010), 090, 12 pages]. In this study, a simple proof of the necessary and sufficient condition of orthogonality is given for a general case.
Keywords: multivariate orthogonal polynomial; hypergeometric function.
Received: September 8, 2010; in final form February 18, 2011; Published online February 22, 2011
Bibliographic databases:
Document Type: Article
MSC: 33C45
Language: English
Citation: Hiroshi Mizukawa, “Orthogonality Relations for Multivariate Krawtchouk Polynomials”, SIGMA, 7 (2011), 017, 5 pp.
Citation in format AMSBIB
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\by Hiroshi Mizukawa
\paper Orthogonality Relations for Multivariate Krawtchouk Polynomials
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    • This publication is cited in the following 11 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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