Abstract. In this paper, we obtain certain discrete orthogonal polynomials expressed in terms of the (d + 1, 2(d + 1))-hypergeometric functions, from the eigenmatrices of character algebras.
Some classes of orthogonal polynomials are discussed in this paper which are expressed in terms of ðn þ 1; m þ 1Þ-hypergeometric functions. The orthogonality comes from that of zonal spherical functions of certain Gelfand pairs. r
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.
An expression is given for the plethysm p 2 • S , where p 2 is the power sum of degree two and S is the Schur function indexed by a rectangular partition. The formula can be well understood from the viewpoint of the basic representation of the affine Lie algebra of type A (2) 2 .
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.