Geodesic
On Some Characteristics of the Multivariate Analogues of the Chebyshev--Hermite Polynomials
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 373-378

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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. 
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     author = {I. Yu. Osmolovskii},
     title = {On {Some} {Characteristics} of the {Multivariate} {Analogues} of the {Chebyshev--Hermite} {Polynomials}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {373--378},
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     volume = {53},
     number = {2},
     year = {2008},
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     url = {http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a11/}
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I. Yu. Osmolovskii. On Some Characteristics of the Multivariate Analogues of the Chebyshev--Hermite Polynomials. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 373-378. http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a11/