淡江大學機構典藏:Item 987654321/120176
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/120176


    Title: A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials
    Authors: Chan, Chuan-Tsung;Liu, Hsiao-Fan
    Keywords: Orthogonal polynomials;Laguerre polynomial;Hermite polynomial;Toda equation;matrix model
    Date: 2018-03-28
    Issue Date: 2021-03-12 12:12:06 (UTC+8)
    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.
    Relation: Random Matrices: Theory and Applications 7(4), 1840002(20 pages)
    DOI: 10.1142/S2010326318400026
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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