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arXiv · 1805.00818

A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials

Chuan-Tsung Chan·Hsiao-Fan Liu
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Abstract

Based on the motivation of generalizing the correspondence between the Lax equation for the Toda lattice and the deformation theory of the orthogonal polynomials, we derive a q-deformed version of the Toda equations for both q-Laguerre/Hermite ensembles, and check the compatibility with the quadratic relation.

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Chuan-Tsung Chan, Hsiao-Fan Liu. 2018-05-01. A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials. https://doi.org/10.1142/s2010326318400026

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