Asymptotic of Cauchy biorthogonal polynomials

Asymptotic of Cauchy biorthogonal polynomials

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-Padé approximation problem whose asym...

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Veröffentlicht in:arXiv.org 2019-03
Hauptverfasser: Fidalgo, U, G Lopez Lagomasino, S Medina Peralta
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Convolution
Polynomials
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Zusammenfassung: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-Padé approximation problem whose asymptotic properties is also revealed.
ISSN:2331-8422