A commuting q-analogue of the addition formula for disk polynomials
Quantum Algebra
2016-09-06 v1 Classical Analysis and ODEs
Abstract
Starting from the addition formula for -disk polynomials, which is an identity in non-commuting variables, we establish a basic analogue in commuting variables of the addition and product formula for disk polynomials. These contain as limiting cases the addition and product formula for little -Legendre polynomials. As tends to the addition and product formula for disk polynomials are recovered.
Keywords
Cite
@article{arxiv.math/9509222,
title = {A commuting q-analogue of the addition formula for disk polynomials},
author = {Paul G. A. Floris and Erik Koelink},
journal= {arXiv preprint arXiv:math/9509222},
year = {2016}
}