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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 192, Number 2, Pages 207–220
DOI: https://doi.org/10.4213/tmf9281 (Mi tmf9281) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The generating function of bivariate Chebyshev polynomials associated with the Lie algebra $G_2$

E. V. Damaskinskyab, M. A. Sokolovc

a Military Institute (Engineering-Technical), Military Academy of Materiel and Technical Security, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
c Peter the Great Saint-Petersburg Polytechnic University, St. Petersburg, Russia
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DOI: https://doi.org/10.4213/tmf9281
Abstract: We construct the generating function of the second-kind bivariate Chebyshev polynomials associated with the simple Lie algebra $G_2$ using a previously proposed method.
Keywords: bivariate Chebyshev polynomial, generating function.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03148
This research is supported by the Russian Foundation for Basic Research (Grant No. 15-01-03148).
Received: 03.10.2016
Revised: 05.01.2017
English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 2, Pages 1115–1128
DOI: https://doi.org/10.1134/S0040577917080025
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. V. Damaskinsky, M. A. Sokolov, “The generating function of bivariate Chebyshev polynomials associated with the Lie algebra $G_2$”, TMF, 192:2 (2017), 207–220; Theoret. and Math. Phys., 192:2 (2017), 1115–1128
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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