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

Abstract

The generating function of the second kind bivariate Chebyshev polynomials associated with the simple Lie algebra $G_2$ is constructed by the method proposed in \cite{DKS} and \cite{DKS1}.

English translation of the paper submited to TMF

References in corpus (4)

• E-Orbit Functions
• The algebra of two dimensional generalized Chebyshev - Koornwinder oscillator
• Around multivariate Schmidt-Spitzer theorem
• On calculation of generating functions of generalized Chebyshev polynomials in several variables