V. V. Borzov, E. V. Damaskinsky, “Chebyshev–Koornwinder oscillator”, TMF, 175:3 (2013), 379–387; Theoret. and Math. Phys., 175:3 (2013), 763

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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 3, Pages 379–387
DOI: https://doi.org/10.4213/tmf8477 (Mi tmf8477)

This article is cited in 8 scientific papers (total 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

Full-text PDF (435 kB) Citations (8)

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DOI: https://doi.org/10.4213/tmf8477

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.

English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 3, Pages 763–770
DOI: https://doi.org/10.1007/s11232-013-0062-9

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: V. V. Borzov, E. V. Damaskinsky, “Chebyshev–Koornwinder oscillator”, TMF, 175:3 (2013), 379–387; Theoret. and Math. Phys., 175:3 (2013), 763–770

Citation in format AMSBIB

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This publication is cited in the following 8 articles:

E. V. Damaskinsky, M. A. Sokolov, “The generating function of bivariate Chebyshev polynomials associated with the Lie algebra $G_2$ ”, Theoret. and Math. Phys., 192:2 (2017), 1115–1128
V. D. Lyakhovsky, “Chebyshev polynomials for a three-dimensional algebra”, Theoret. and Math. Phys., 185:1 (2015), 1462–1470
M. A. Sokolov, “Generating functions of Chebyshev polynomials in three variables”, J. Math. Sci. (N. Y.), 213:5 (2016), 786–794
E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov, “On calculation of generating functions of Chebyshev polynomials in several variables”, Journal of Mathematical Physics, 56:6 (2015)
Borzov V.V. Damaskinsky E.V., “The Algebra of Two Dimensional Generalized Chebyshev-Koornwinder Oscillator”, J. Math. Phys., 55:10 (2014), 103505
Lyakhovsky V.D., Uvarov Ph.V., “Multivariate Chebyshev Polynomials”, J. Phys. A-Math. Theor., 46:12 (2013), 125201
V. D. Lyakhovsky, “Multivariate Chebyshev polynomials in terms of singular elements”, Theoret. and Math. Phys., 175:3 (2013), 797–805
V.V. Borzov, E.V. Damaskinsky, Proceedings of the International Conference Days on Diffraction 2013, 2013, 23

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	68
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