A. P. Starovoitov, “Asymptotics of quadratic Hermite–Padé approximants of the exponential functions”, PFMT, 2014, no. 1(18), 74

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2014, Issue 1(18), Pages 74–80 (Mi pfmt292)

This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Asymptotics of quadratic Hermite–Padé approximants of the exponential functions

A. P. Starovoitov

F. Scorina Gomel State University, Gomel

Full-text PDF (391 kB) Citations (2)

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Abstract: The paper deals with asymptotic properties of diagonal quadratic Hermite–Padé approximants of type I for exponential system

$\{e^{\lambda_jz}\}_{j=0}^2$ with arbitrary real

$\lambda_0$ ,

$\lambda_1$ ,

$\lambda_2$ . The proved theorems complement the known results of P. Borwein, F. Wielonsky.

Keywords: Hermite–Padé approximants of type I, quadratic and Hermite–Padé approximants, asymptotic equality, saddle-point method.

Received: 29.01.2014

Document Type: Article

UDC: 517.538.52+517.538.53

Language: Russian

Citation: A. P. Starovoitov, “Asymptotics of quadratic Hermite–Padé approximants of the exponential functions”, PFMT, 2014, no. 1(18), 74–80

Citation in format AMSBIB

\Bibitem{Sta14}

\by A.~P.~Starovoitov

\paper Asymptotics of quadratic Hermite--Pad\'e approximants of the exponential functions

\jour PFMT

\yr 2014

\issue 1(18)

\pages 74--80

\mathnet{http://mi.mathnet.ru/pfmt292}

Linking options:

https://www.mathnet.ru/eng/pfmt292

https://www.mathnet.ru/eng/pfmt/y2014/i1/p74

This publication is cited in the following 2 articles:

A. V. Astafieva, A. P. Starovoitov, “Hermite-Padé approximation of exponential functions”, Sb. Math., 207:6 (2016), 769–791
A. P. Starovoitov, G. N. Kazimirov, M. V. Sidortsov, “Asimptotika approksimatsii Ermita–Pade eksponentsialnykh funktsii s kompleksnymi mnozhitelyami v pokazatelyakh eksponent”, PFMT, 2016, no. 2(27), 61–67

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	206
Full-text PDF :	67
References:	60

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