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arXiv · 2102.03678

Strong asymptotic of Cauchy biorthogonal polynomials and orthogonal polynomials with varying measure

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

We give the strong asymptotic of Cauchy biorthogonal polynomials under the assumption that the defining measures are supported on non intersecting intervals of the real line and satisfy Szeg\H{o}'s condition. The biorthogonal polynomials are connected with certain mixed type Hermite-Pad\'e polynomials, which verify full orthogonality relations with respect to some varying measures. Thus, the strong asymptotic of orthogonal polynomials with respect to varying measures plays a key role in the study.

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L. G. González Ricardo, G. López Lagomasino. 2021-02-06. Strong asymptotic of Cauchy biorthogonal polynomials and orthogonal polynomials with varying measure. https://arxiv.org/abs/2102.03678

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