An algebraic interpretation of the continuous big q-Hermite polynomials
Classical Analysis and ODEs
2016-09-06 v1 Quantum Algebra
Abstract
The continuous big -Hermite polynomials are shown to realize a basis for a representation space of an extended -oscillator algebra. An expansion formula is algebraically derived using this model.
Keywords
Cite
@article{arxiv.math/9504217,
title = {An algebraic interpretation of the continuous big q-Hermite polynomials},
author = {Roberto Floreanini and Jean LeTourneux and Luc Vinet},
journal= {arXiv preprint arXiv:math/9504217},
year = {2016}
}