Under an additional uniform convergence-rate assumption, the limiting nearest-neighbor recurrence coefficients of multiple orthogonal polynomials satisfy a system of PDEs, which for two measures reduces to ODEs.
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Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class
Under an additional uniform convergence-rate assumption, the limiting nearest-neighbor recurrence coefficients of multiple orthogonal polynomials satisfy a system of PDEs, which for two measures reduces to ODEs.