Geodesic
Convergence of Row Sequences of Simultaneous Pad\'{e}--Faber Approximants
Matematičeskie zametki, Tome 103 (2018) no. 5, pp. 643-656.

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : Hermite–Padé approximants. 
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     title = {Convergence of {Row} {Sequences} of {Simultaneous} {Pad\'{e}--Faber} {Approximants}},
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N. Bosuwan. Convergence of Row Sequences of Simultaneous Pad\'{e}--Faber Approximants. Matematičeskie zametki, Tome 103 (2018) no. 5, pp. 643-656. http://geodesic.mathdoc.fr/item/MZM_2018_103_5_a0/

[1] P. K. Suetin, Ryady polinomov Fabera, Nauka, M., 1984 | MR

[2] S. P. Suetin, “O skhodimosti ratsionalnykh approksimatsii polinomialnykh razlozhenii v oblastyakh meromorfnosti zadannoi funktsii”, Matem. sb., 105 (147):3 (1978), 413–430 | MR | Zbl

[3] S. P. Suetin, “O teoreme Montessu de Bolora dlya ratsionalnykh approksimatsii ortogonalnykh razlozhenii”, Matem. sb., 114 (156):3 (1981), 451–464 | MR | Zbl

[4] S. P. Suetin, “O suschestvovanii nelineinykh approksimatsii Pade–Chebysheva dlya analiticheskikh funktsii”, Matem. zametki, 86:2 (2009), 290–303 | DOI | MR | Zbl

[5] P. R. Graves-Morris, E. B. Saff, “A de Montessus theorem for vector-valued rational interpolants”, Rational Approximation and Interpolation, Lecture Notes in Math., 1105, Springer, Berlin, 1984, 227–242 | DOI | MR | Zbl

[6] V. I. Smirnov, N. A. Lebedev, Konstruktivnaya teoriya funktsii kompleksnogo peremennogo, Nauka, M.–L., 1964 | MR | Zbl

[7] A. A. Gonchar, “O skhodimosti obobschennykh approksimatsii Pade meromorfnykh funktsii”, Matem. sb., 98 (140):4 (12) (1975), 564–577 | MR | Zbl

[8] A. A. Gonchar, “Polyusy strok tablitsy Pade i meromorfnoe prodolzhenie funktsii”, Matem. sb., 115 (157):4 (8) (1981), 590–613 | MR | Zbl