Email this article On some properties of Hermite–Padé approximants to an exponential system
- Authors: Starovoitov A.P.1, Kechko E.P.1
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Affiliations:
- Francisk Skorina Gomel State University
- Issue: Vol 298, No 1 (2017)
- Pages: 317-333
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175077
- DOI: https://doi.org/10.1134/S0081543817060190
- ID: 175077
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Abstract
Extremal properties and localization of zeros of general (including nondiagonal) type I Hermite–Padé polynomials are studied for the exponential system {eλjz}j=0k with arbitrary different complex numbers λ0, λ1,..., λk. The theorems proved in the paper complement and generalize the results obtained earlier by other authors.
About the authors
A. P. Starovoitov
Francisk Skorina Gomel State University
Author for correspondence.
Email: svoitov@gsu.by
Belarus, Savetskaya vul. 104, Gomel, 246019
E. P. Kechko
Francisk Skorina Gomel State University
Email: svoitov@gsu.by
Belarus, Savetskaya vul. 104, Gomel, 246019
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