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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2020, Issue 1(42), Pages 81–84 (Mi pfmt700)  
MATHEMATICS

The convergence rate of Hermite–Padé approximations of the three exponent system

E. P. Kechko

F. Scorina Gomel State University
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Abstract: The convergence rate of type II Hermite–Padé approximants for the system $\{e^{\lambda_jz}\}_{j=1}^3$ is found. The theorems proved in the paper complement the results obtained earlier by O. Perron, D. Braess, A.I. Aptekarev, A.P. Starovoitov and other authors.
Keywords: type II Hermite–Padé approximations, system of exponential functions, asymptotic equalities, Hermite integrals.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Ф18М-025
Received: 13.01.2020
Document Type: Article
UDC: 517.538.52+517.538.53
Language: Russian
Citation: E. P. Kechko, “The convergence rate of Hermite–Padé approximations of the three exponent system”, PFMT, 2020, no. 1(42), 81–84
Citation in format AMSBIB
\Bibitem{Kec20}
\by E.~P.~Kechko
\paper The convergence rate of Hermite--Pad\'e approximations of the three exponent system
\jour PFMT
\yr 2020
\issue 1(42)
\pages 81--84
\mathnet{http://mi.mathnet.ru/pfmt700}
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