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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 99–109 (Mi znsl6657)  
On differential operators for Chebyshev polynomials of several variables

E. V. Damaskinskiya, M. A. Sokolovb

a Military Technical Institute, St. Petersburg, Russia
b S. M. Budyonny Military Academy of Communications, St. Petersburg, Russia
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Abstract: We obtain the differential operators for bivariate Chebyshev polynomials of the first kind, associated with root systems of the simple Lie algebras $C_2$ and $G_2$.
Key words and phrases: orthogonal polynomials, bivariate Chebyshev polynomials.
Received: 17.09.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 5, Pages 651–657
DOI: https://doi.org/10.1007/s10958-019-04504-6
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. V. Damaskinskiy, M. A. Sokolov, “On differential operators for Chebyshev polynomials of several variables”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 99–109; J. Math. Sci. (N. Y.), 242:5 (2019), 651–657
Citation in format AMSBIB
\Bibitem{DamSok18}
\by E.~V.~Damaskinskiy, M.~A.~Sokolov
\paper On differential operators for Chebyshev polynomials of several variables
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 99--109
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6657}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 651--657
\crossref{https://doi.org/10.1007/s10958-019-04504-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074191029}
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