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.
@article{TVP_2008_53_2_a11,
author = {I. Yu. Osmolovskii},
title = {On {Some} {Characteristics} of the {Multivariate} {Analogues} of the {Chebyshev{\textendash}Hermite} {Polynomials}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {373--378},
year = {2008},
volume = {53},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a11/}
}
TY - JOUR AU - I. Yu. Osmolovskii TI - On Some Characteristics of the Multivariate Analogues of the Chebyshev–Hermite Polynomials JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2008 SP - 373 EP - 378 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a11/ LA - ru ID - TVP_2008_53_2_a11 ER -
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/
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