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

Autor:	Hsiao-Fan Liu, Chuan-Tsung Chan
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Statistics and Probability Pure mathematics Algebra and Number Theory Hermite polynomials Nonlinear Sciences - Exactly Solvable and Integrable Systems Generalization 010102 general mathematics Deformation theory Mathematics::Classical Analysis and ODEs FOS: Physical sciences 01 natural sciences Matrix model 33D45 39A45 Nonlinear Sciences::Exactly Solvable and Integrable Systems 0103 physical sciences Orthogonal polynomials Laguerre polynomials Discrete Mathematics and Combinatorics 010307 mathematical physics Exactly Solvable and Integrable Systems (nlin.SI) 0101 mathematics Statistics Probability and Uncertainty Toda lattice Mathematics
Popis:	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. 20 pages. arXiv admin note: substantial text overlap with arXiv:1612.09039
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ed6e4668cb17f3ea03bc1bca73a4de7 http://arxiv.org/abs/1805.00818 Zobrazit plný text záznamu