$q$-Discrete Painlevé equations for recurrence coefficients of modified $q$-Freud orthogonal polynomials - Mathematics > Classical Analysis and ODEsReport as inadecuate




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Abstract: We present an asymmetric $q$-Painlev\-e equation. We will derive this using$q$-orthogonal polynomials with respect to generalized Freud weights: theirrecurrence coefficients will obey this $q$-Painlev\-e equation up to a simpletransformation. We will show a stable method of computing a special solutionwhich gives the recurrence coefficients. We establish a connection with$\alpha-q-P V$.



Author: Lies Boelen, Christophe Smet, Walter Van Assche

Source: https://arxiv.org/







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