Asymptotic of Cauchy biorthogonal polynomials
Classical Analysis and ODEs
2019-04-02 v1
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.
Keywords
Cite
@article{arxiv.1904.00126,
title = {Asymptotic of Cauchy biorthogonal polynomials},
author = {U. Fidalgo and G. Lopez Lagomasino and S. Medina Peralta},
journal= {arXiv preprint arXiv:1904.00126},
year = {2019}
}
Comments
27 pages