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arXiv · 2207.08308

Strong asymptotics of multi-level Hermite-Padé polynomials

L. G. González Ricardo·G. López Lagomasino
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Abstract

We obtain the strong asymptotics of multiple orthogonal polynomials which arise in a mixed type Hermite-Padé 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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L. G. González Ricardo, G. López Lagomasino. 2023-04-08. Strong asymptotics of multi-level Hermite-Padé polynomials. https://arxiv.org/abs/2207.08308

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