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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 4(1), Pages 387–395
DOI: https://doi.org/10.18500/1816-9791-2014-14-4-387-395 (Mi isu526) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Quadratic Hermite–Padé Approximants of Exponential Functions

A. P. Starovoitov

Gomel State University, 106, Sovetskaya str., Gomel, 246019, Belarus
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DOI: https://doi.org/10.18500/1816-9791-2014-14-4-387-395
Abstract: The paper deals with extremal properties of diagonal quadratic Hermite–Padé approximants of type I for exponential system $\{e^{\lambda_jz}\}_{j=0}^2$ with arbitrary real $\lambda_0, \lambda_1, \lambda_2$. Proved theorems complement known results of P. Borwein, F. Wielonsky.
Key words: Hermite–Padé approximants of type I, quadratic Hermite–Padé approximants, asymptotic equality, saddle-point method.
Bibliographic databases:
Document Type: Article
UDC: 517.538.52+517.538.53
Language: Russian
Citation: A. P. Starovoitov, “Quadratic Hermite–Padé Approximants of Exponential Functions”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014), 387–395
Citation in format AMSBIB
\Bibitem{Sta14}
\by A.~P.~Starovoitov
\paper Quadratic Hermite--Pad\'e Approximants of Exponential Functions
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 4(1)
\pages 387--395
\mathnet{http://mi.mathnet.ru/isu526}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-4-387-395}
\elib{https://elibrary.ru/item.asp?id=22575446}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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