q-Discrete Painlevé equations for recurrence coefficients of modified q-Freud orthogonal polynomials
نویسندگان
چکیده
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 between the newfound equation and α-q-PV.
منابع مشابه
Recurrences and explicit formulae for the expansion and connection coefficients in series of the product of two classical discrete orthogonal polynomials
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