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Conference publications

Abstracts

XX conference

Special functions of the mathematical physics. Probabilistic approach

Zalyapin V.I.

454080, Chelyabinsk, 76, Lenin av., SUSU, mechanics and mathematics dep.

1 pp. (accepted)

The general scheme of the random walks in the multidimensional arithmetic space, bringing to interpretation of the classical special functions of mathematical physics (Bessel, Hermitt, Jakob, etc.) and their multidimensional generalizations (for example, Lyusternik's functions) is considered.

The group structure of the random walks and property of the functions of the Poisson’s walks is studied. The approach to creation of the asymptotic expansion of the studied functions and their generalizations is described.



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