A. A. Gonchar, E. A. Rakhmanov, V. N. Sorokin, “Hermite–Pade approximants for systems of Markov-type functions”, Mat. Sb., 1997, Volume 188, Number 5,Pages <nobr>33

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Hermite–Pade approximants for systems of Markov-type functions

A. A. Gonchar^a, E. A. Rakhmanov^a, V. N. Sorokin^b

^a Steklov Mathematical Institute, Russian Academy of Sciences
^b M. V. Lomonosov Moscow State University

Abstract: The Hermite–Pade approximants are studied for systems of Markov functions (introduced in this paper) with structure described by a graph. Results of an asymptotic nature are stated in terms of certain equilibrium problems of potential theory concerning vector potentials.

UDC: 517.53

MSC: Primary 41A21, 30E10; Secondary 31A15

Received: 22.01.1996

DOI: 10.4213/sm225