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Strong asymptotics of multi-level Hermite-Padé polynomials (2207.08308v2)
Published 17 Jul 2022 in math.CA
Abstract: We obtain the strong asymptotics of multiple orthogonal polynomials which arise in a mixed type Hermite-Pad\'e approximation problem defined on a Nikishin system of functions. The results obtained allow to give exact estimates of the rate of convergence of the approximating rational functions and the strong asymptotics of Cauchy biorthogonal polynomials.
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