Year: 2016
Type: preprint
Abstract: We study a q-generalization of the classical Laguerre/Hermite orthogonal polynomials. Explicit results include: the recursive coefficients, matrix elements of generators for the Heisenberg algebra, and the Hankel determinants. The power of quadratic relation is illustrated by comparing two ways of calculating recursive coefficients. Finally, we derive a q-deformed version of the Toda equations for both q-Laguerre/Hermite ensembles.
Source: arXiv (Cornell University)
Authors: Chan, Chuan-Tsung, Liu, Hsiao-Fan
Institutions: Institute of Mathematics, Academia Sinica, Tunghai University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Academia Sinica
OpenAlex ID: W2563854046