%0 Journal Article
%T $q$-Discrete Painlev¨¦ equations for recurrence coefficients of modified $q$-Freud orthogonal polynomials
%A Lies Boelen
%A Christophe Smet
%A Walter Van Assche
%J Mathematics
%D 2008
%I arXiv
%X We present an asymmetric $q$-Painlev\'e equation. We will derive this using $q$-orthogonal polynomials with respect to generalized Freud weights: their recurrence coefficients will obey this $q$-Painlev\'e equation (up to a simple transformation). We will show a stable method of computing a special solution which gives the recurrence coefficients. We establish a connection with $\alpha-q-P_V$.
%U http://arxiv.org/abs/0808.0982v1