An algebraic treatment of the Askey biorthogonal polynomials on the unit circle
A joint algebraic interpretation of the biorthogonal Askey polynomials on the unit circle and of the orthogonal Jacobi polynomials is offered. It ties their bispectral properties to an algebra called the meta-Jacobi algebra $m\mathfrak {J}$ .
Main Authors: | Luc Vinet, Alexei Zhedanov |
---|---|
Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2021-01-01
|
Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509421000608/type/journal_article |
Similar Items
-
Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation
by: Nader Ali Makboul Hassan
Published: (2014-01-01) -
Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier
by: Dominici Diego
Published: (2007-06-01) -
On the kernel of the $(\kappa ,a)$ -Generalized fourier transform
by: Dmitry Gorbachev, et al.
Published: (2023-01-01) -
Monomiality and a New Family of Hermite Polynomials
by: Giuseppe Dattoli, et al.
Published: (2023-06-01) -
q-Difference equations for the 2-iterated q-Appell and mixed type q-Appell polynomials
by: H. M. Srivastava, et al.
Published: (2018-06-01)