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

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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}

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

This publication is cited in the following 2 articles:

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