Year: 1995
Type: article
Abstract: An algebraic interpretation for two classes of continuous q-polynomials is provided. Rogers’ continuous q-Hermite polynomials and continuous q-ultraspherical polynomials are shown to realize, respectively, bases for representation spaces of the q-Heisenberg algebra and a q-deformation of the Euclidean algebra in these dimensions. A generating function for the continuous q-Hermite polynomials and a q-analog of the Fourier–Gegenbauer expansion are naturally obtained from these models.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.530998
Authors: Roberto Floreanini, Luc Vinet
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2068073170