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:Mediterranean journal of mathematics 2020-02, Vol.17 (1), Article 22
Hauptverfasser: Fidalgo, U., Lopez Lagomasino, G., Medina Peralta, S.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Convolution
Mathematics
Mathematics and Statistics
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:1660-5446
1660-5454
DOI:10.1007/s00009-019-1455-2