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arXiv · 1904.00126

Asymptotic of Cauchy biorthogonal polynomials

U. Fidalgo·G. Lopez Lagomasino·S. Medina Peralta
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Abstract

We consider sequences of biorthogonal polynomials with respect to a Cauchy type convolution kernel and give the weak and ratio asymptotic of the corresponding sequences of biorthogonal polynomials. The construction is intimately related with a mixed type Hermite-Pad\'e approximation problem whose asymptotic properties is also revealed.

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U. Fidalgo, G. Lopez Lagomasino, S. Medina Peralta. 2019-03-30. Asymptotic of Cauchy biorthogonal polynomials. https://arxiv.org/abs/1904.00126

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