A. V. Astafyeva, “Asymptotics of diagonal Hermite–Pade approximants for a system of four exponentials”, PFMT, 2015, no. 1(22), 53

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 1(22), Pages 53–57 (Mi pfmt356)

MATHEMATICS

Asymptotics of diagonal Hermite–Pade approximants for a system of four exponentials

A. V. Astafyeva

F. Scorina Gomel State University, Gomel, Belarus

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Abstract: Asymptotic properties of diagonal Hermite–Pade approximants of type I for exponential system $\{e^{\lambda_jz}\}^3_{j=0}$ with arbitrary real $\lambda_0<\lambda_1<\lambda_2<\lambda_3$ are studied. The obtained theorems complement the results of P. Borwein and F. Wielonsky.

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

Received: 01.07.2014

Document Type: Article

UDC: 517.538.52+517.538.53

Language: Russian

Citation: A. V. Astafyeva, “Asymptotics of diagonal Hermite–Pade approximants for a system of four exponentials”, PFMT, 2015, no. 1(22), 53–57

Citation in format AMSBIB

\Bibitem{Ast15}

\by A.~V.~Astafyeva

\paper Asymptotics of diagonal Hermite--Pade approximants for a system of four exponentials

\jour PFMT

\yr 2015

\issue 1(22)

\pages 53--57

\mathnet{http://mi.mathnet.ru/pfmt356}

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