V. V. Borzov, E. V. Damaskinsky, “Chebyshev–Koornwinder oscillator”, TMF, 2013, Volume 175, Number 3,Pages <nobr>379

This article is cited in 8 papers

Chebyshev–Koornwinder oscillator

V. V. Borzov^a, E. V. Damaskinsky^b

^a Bonch-Bruevich Saint-Petersburg State University of Telecommunications, St. Petersburg, Russia
^b Military Engineering-Technical Institute, St. Petersburg, Russia

Abstract: We construct a generalized oscillator related to bivariate Chebyshev–Koornwinder polynomials associated with the Lie algebra $\mathfrak{sl}(3)$ root system.

Keywords: generalized oscillator, Chebyshev–Koornwinder polynomial.

DOI: 10.4213/tmf8477