RUS  ENG
Full version
JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2011 Volume 7, 017, 5 pp. (Mi sigma575)

This article is cited in 12 papers

Orthogonality Relations for Multivariate Krawtchouk Polynomials

Hiroshi Mizukawa

Department of Mathematics, National Defense Academy of Japan, Yokosuka 239-8686, Japan

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.

MSC: 33C45

Received: September 8, 2010; in final form February 18, 2011; Published online February 22, 2011

Language: English

DOI: 10.3842/SIGMA.2011.017



Bibliographic databases:
ArXiv: 1009.1203


© Steklov Math. Inst. of RAS, 2025