most cited-Discrete Painlevé equations for recurrence coefficients of modified -Freud orthogonal polynomials

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math.CA2008★ 1 cited

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

Lies Boelen, Christophe Smet, Walter Van Assche

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

math.CA2007

Irrationality proof of certain Lambert series using little q-Jacobi polynomials

Jonathan Coussement, Christophe Smet

We apply the Pade technique to find rational approximations to % \[h^{\pm}(q_1,q_2)=\sum_{k=1}^\infty\frac{\q_1^k}{1\pm \q_2^k}, 0<q_1,q_2<1, q_1\in\mathbb{Q}, q_2=1/p_2, p_2\in\ma…