On some properties of Hermite–Padé approximants to an exponential system

On some properties of Hermite–Padé approximants to an exponential system

Extremal properties and localization of zeros of general (including nondiagonal) type I Hermite–Padé polynomials are studied for the exponential system { e λjz } j =0 k with arbitrary different complex numbers λ 0 , λ 1 ,..., λ k . The theorems proved in the paper complement and generalize the resul...

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Veröffentlicht in:Proceedings of the Steklov Institute of Mathematics 2017-08, Vol.298 (1), p.317-333
Hauptverfasser: Starovoitov, A. P., Kechko, E. P.
Format: Artikel
Sprache:eng
Schlagworte:
Approximants
Complex numbers
Hermite polynomials
Mathematics
Mathematics and Statistics
Pade approximation
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Beschreibung
Zusammenfassung:Extremal properties and localization of zeros of general (including nondiagonal) type I Hermite–Padé polynomials are studied for the exponential system { e λjz } j =0 k with arbitrary different complex numbers λ 0 , λ 1 ,..., λ k . The theorems proved in the paper complement and generalize the results obtained earlier by other authors.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543817060190