E. V. Damaskinsky, M. A. Sokolov, “The generating function of bivariate Chebyshev polynomials associated with the Lie algebra <nobr>$G_2$</nobr>”, TMF, 2017, Volume 192, Number 2,Pages <nobr>207–220</nobr>

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TMF, 2017 Volume 192, Number 2, Pages 207–220 (Mi tmf9281)

This article is cited in 2 papers

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

E. V. Damaskinsky^ab, M. A. Sokolov^c

^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

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.

Received: 03.10.2016
Revised: 05.01.2017

DOI: 10.4213/tmf9281

English version: Theoretical and Mathematical Physics, 2017, 192:2, 1115–1128

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