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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2018 Volume 103, Issue 5, Pages 643–656 (Mi mzm11192)
This article is cited in 4 papers

Convergence of Row Sequences of Simultaneous Padé–Faber Approximants

N. Bosuwanab

a Department of Mathematics, Faculty of Science, Mahidol University
b Centre of Excellence in Mathematics, CHE

Abstract: We consider row sequences of vector valued Padé-Faber approximants (simultaneous Padé–Faber approximants) and prove a Montessus de Ballore-type theorem.

Keywords: Montessus de Ballore theorem, Padé–Faber approximants, simultaneous Padé approximants, Hermite–Padé approximants.

UDC: 517

Received: 14.04.2017

DOI: 10.4213/mzm11192


 English version: Mathematical Notes, 2018, 103:5, 683–693

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© Steklov Math. Inst. of RAS, 2024