Deformed Laguerre–Hahn orthogonal polynomials on the real line

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摘要

One derives discrete dynamical systems related to Laguerre–Hahn orthogonal polynomials. One studies deformations of the recurrence relation coefficients of the orthogonal polynomials under a t-dependence on the coefficients of the Riccati differential equation for the related Stieltjes function.

论文关键词:Orthogonal polynomials,Semi-classical class,Matrix Sylvester differential equations,Lax pairs

论文评审过程:Available online 26 February 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.02.019