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most citedRecurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations

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math.CA2021

Differential equations for the recurrence coefficients of semi-classical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach

Anton Dzhamay, Galina Filipuk, Alexander Stokes

In this paper we present a general scheme for how to relate differential equations for the recurrence coefficients of semi-classical orthogonal polynomials to the Painlevé equation…