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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 298, Pages 165–184
DOI: https://doi.org/10.1134/S0371968517030128 (Mi tm3816) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Inverse Results on Row Sequences of Hermite–Padé Approximation

G. López Lagomasino, Y. Zaldivar Gerpe

Departamento de Matemáticas, Universidad Carlos III de Madrid, Av. Universidad 30, 28911 Leganés, Madrid, Spain
Full-text PDF (287 kB) Citations (4)
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DOI: https://doi.org/10.1134/S0371968517030128
Abstract: We consider row sequences of (type II) Hermite–Padé approximations with common denominator associated with a vector $\mathbf f$ of formal power expansions about the origin. In terms of the asymptotic behavior of the sequence of common denominators, we describe some analytic properties of $\mathbf f$ and restate some conjectures corresponding to questions once posed by A. A. Gonchar for row sequences of Padé approximants.
Keywords: Hermite–Padé approximation, inverse type results.
Funding agency Grant number
Ministerio de Economía y Competitividad MTM 2015-65888-C4-2-P
The first author was supported by the Ministerio de Economía y Competitividad, Spain (grant MTM 2015-65888-C4-2-P).
Received: January 17, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 298, Pages 152–169
DOI: https://doi.org/10.1134/S0081543817060128
Bibliographic databases:
Document Type: Article
UDC: 517.538+517.587
MSC: Primary 30E10; Secondary 41A21
Language: Russian
Citation: G. López Lagomasino, Y. Zaldivar Gerpe, “Inverse Results on Row Sequences of Hermite–Padé Approximation”, 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, 165–184; Proc. Steklov Inst. Math., 298 (2017), 152–169
Citation in format AMSBIB
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\by G.~L\'opez Lagomasino, Y.~Zaldivar~Gerpe
\paper Inverse Results on Row Sequences of Hermite--Pad\'e Approximation
\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 165--184
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968517030128}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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