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math-ph2016★ 2 cited
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…
math-ph2016★ 2 cited
On the spectrum of discrete Schrödinger equation with one-dimensional perturbation
V. V. Borzov, E. V. Damaskinsky
We consider the spectrum of the discrete Schrödinger equation with one-dimensional perturbation. We obtain the explicit form of scattering matrix and find the exact condition of ab…