28 citations · 40 across the 9 of their papers we have counts for
9 papers
On differential operators for bivariate Chebyshev polynomials
E. V. Damaskinsky, M. A Sokolov
We construct the differential operators for which bivariate Chebyshev polynomials of the first kind, associated with simple Lie algebras and , are eigenfunctions.
The generating function of bivariate Chebyshev polynomials associated with the Lie algebra
E. V. Damaskinsky, M. A. Sokolov
The generating function of the second kind bivariate Chebyshev polynomials associated with the simple Lie algebra is constructed by the method proposed in \cite{DKS} and \cit…
Generating functions of Chebyshev polynomials in three variables
M. A. Sokolov
In this paper generating functions of three variables Chebyshev polynomials associated with the root system of Lie algebra are obtained.
On calculation of generating functions of generalized Chebyshev polynomials in several variables
E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov
We propose a new method of calculation of generating functions of Chebyshev polynomials in several variables associated with root systems of simple Lie algebras. We obtain the gene…
Classical equations of motion and algebras of quantum observables
M. A. Sokolov
In this work simple and effective quantization procedure of classical dynamical systems is proposed and illustrated by a number of examples. The procedure is based entirely on diff…
Remarks on quantization of Pais-Uhlenbeck oscillators
E. V. Damaskinsky, M. A. Sokolov
This work is concerned with a quantization of the Pais-Uhlenbeck oscillators from the point of view of their multi-Hamiltonian structures. It is shown that the 2n-th order oscillat…