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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 298, Pages 338–355
DOI: https://doi.org/10.1134/S0371968517030190 (Mi tm3835) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Some Properties of Hermite–Padé Approximants to an Exponential System

A. P. Starovoitov, E. P. Kechko

Francisk Skorina Gomel State University, Savetskaya vul. 104, Gomel, 246019 Belarus
Full-text PDF (272 kB) Citations (3)
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DOI: https://doi.org/10.1134/S0371968517030190
Abstract: Extremal properties and localization of zeros of general (including nondiagonal) type I Hermite–Padé polynomials are studied for the exponential system $\{e^{\lambda _jz}\}_{j=0}^k$ with arbitrary different complex numbers $\lambda _0,\lambda _1,\dots ,\lambda _k$. The theorems proved in the paper complement and generalize the results obtained earlier by other authors.
Keywords: exponential system, Hermite–Padé approximants, asymptotic equalities, zeros of a polynomial.
Funding agency Grant number
Ministry of Education of the Republic of Belarus
This work was supported by the Ministry of Education of the Republic of Belarus within the state program of scientific research for 2011–2015.
Received: April 5, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 298, Pages 317–333
DOI: https://doi.org/10.1134/S0081543817060190
Bibliographic databases:
Document Type: Article
UDC: 517.538.5+517.518.84
Language: Russian
Citation: A. P. Starovoitov, E. P. Kechko, “On Some Properties of Hermite–Padé Approximants to an Exponential System”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 338–355; Proc. Steklov Inst. Math., 298 (2017), 317–333
Citation in format AMSBIB
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\by A.~P.~Starovoitov, E.~P.~Kechko
\paper On Some Properties of Hermite--Pad\'e Approximants to an Exponential System
\inbook Complex analysis and its applications
\bookinfo Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 298
\pages 338--355
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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