$q$-Discrete Painlevé equations for recurrence coefficients of modified $q$-Freud orthogonal polynomials

Lies Boelen, Christophe Smet, Walter Van Assche

We present an asymmetric $q$-Painlevé equation. We will derive this using $q$-orthogonal polynomials with respect to generalized Freud weights: their recurrence coefficients will o…