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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 433, Pages 246–259 (Mi znsl6136)  
This article is cited in 4 scientific papers (total in 4 papers)

Generating functions of Chebyshev polynomials in three variables

M. A. Sokolov

St. Petersburg State Polytechnical University, St. Petersburg, Russia
Full-text PDF (195 kB) Citations (4)
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Abstract: In this paper generating functions of three-variable Chebyshev polynomials (of the first, as well as of the second type) associated with the root system of $A_3$ Lie algebra are obtained.
Key words and phrases: multivariate Chebyshev polynomials, generating functions.
Received: 11.03.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 213, Issue 5, Pages 786–794
DOI: https://doi.org/10.1007/s10958-016-2739-8
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. A. Sokolov, “Generating functions of Chebyshev polynomials in three variables”, Questions of quantum field theory and statistical physics. Part 23, Zap. Nauchn. Sem. POMI, 433, POMI, St. Petersburg, 2015, 246–259; J. Math. Sci. (N. Y.), 213:5 (2016), 786–794
Citation in format AMSBIB
\Bibitem{Sok15}
\by M.~A.~Sokolov
\paper Generating functions of Chebyshev polynomials in three variables
\inbook Questions of quantum field theory and statistical physics. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 433
\pages 246--259
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6136}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3493689}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 213
\issue 5
\pages 786--794
\crossref{https://doi.org/10.1007/s10958-016-2739-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84957609877}
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  • https://www.mathnet.ru/eng/znsl/v433/p246
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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