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Teoriya Veroyatnostei i ee Primeneniya, 2008, Volume 53, Issue 2, Pages 373–378
DOI: https://doi.org/10.4213/tvp2418 (Mi tvp2418) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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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
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DOI: https://doi.org/10.4213/tvp2418
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
English version:
Theory of Probability and its Applications, 2009, Volume 53, Issue 2, Pages 340–346
DOI: https://doi.org/10.1137/S0040585X97983614
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. Yu. Osmolovskii, “On Some Characteristics of the Multivariate Analogues of the Chebyshev–Hermite Polynomials”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 373–378; Theory Probab. Appl., 53:2 (2009), 340–346
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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