This article is cited in 2 papers

Short Communications

On Some Characteristics of the Multivariate Analogues of the Chebyshev–Hermite Polynomials

I. Yu. Osmolovskii

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: This paper investigates some properties of the multivariate analogues of the Chebyshev–Hermite polynomials and proves that they are the Appel polynomials (under a respective generalization of this notion). Recurrent formulae for multivariate analogues of the Chebyshev–Hermite polynomials are also obtained.

Keywords: Chebyshev–Hermite polynomials, polylinear functionals, asymptotic decompositions, central limit theorem, multidimensional distributions, recurrence.

Received: 06.12.2007

DOI: 10.4213/tvp2418

 English version: Theory of Probability and its Applications, 2009, 53:2, 340–346

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