Little and Big $q-$Jacobi Polynomials and the Askey-Wilson algebra
Quantum Algebra
2019-04-03 v2
Abstract
The little and big q-Jacobi polynomials are shown to arise as basis vectors for representations of the Askey-Wilson algebra. The operators that these polynomials respectively diagonalize are identified within the Askey-Wilson algebra generated by twisted primitive elements of . The little q-Jacobi operator and a tridiagonalization of it are shown to realize the equitable embedding of the Askey-Wilson algebra into .
Keywords
Cite
@article{arxiv.1806.02656,
title = {Little and Big $q-$Jacobi Polynomials and the Askey-Wilson algebra},
author = {Pascal Baseilhac and Xavier Martin and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1806.02656},
year = {2019}
}
Comments
v2: References added. 15 pp