
SIGMA 7 (2011), 017, 5 pages arXiv:1009.1203
http://dx.doi.org/10.3842/SIGMA.2011.017
Orthogonality Relations for Multivariate Krawtchouk Polynomials
Hiroshi Mizukawa
Department of Mathematics, National Defense Academy of Japan, Yokosuka 2398686, Japan
Received September 08, 2010, in final form February 18, 2011; Published online February 22, 2011
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.
Key words:
multivariate orthogonal polynomial; hypergeometric function.
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References
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 Mizukawa H., Tanaka H.,
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