Journal of Difference Equations and Applications vol:16 issue:1 pages:37-53
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 obey this q-Painlevé 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.