Keywords: inverse type results.
@article{TRSPY_2017_298_a11,
author = {G. L\'opez Lagomasino and Y. Zaldivar Gerpe},
title = {Inverse {Results} on {Row} {Sequences} of {Hermite{\textendash}Pad\'e} {Approximation}},
journal = {Informatics and Automation},
pages = {165--184},
year = {2017},
volume = {298},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a11/}
}
G. López Lagomasino; Y. Zaldivar Gerpe. Inverse Results on Row Sequences of Hermite–Padé Approximation. Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 165-184. http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a11/
[1] Agmon S., “Sur les séries de Dirichlet”, Ann. sci. Éc. norm. supér. Sér. 3, 66 (1949), 263–310 | MR | Zbl
[2] Bieberbach L., Analytische Fortsetzung, Springer, Berlin, 1955 | MR | MR | Zbl
[3] Cacoq J., de la Calle Ysern B., López Lagomasino G., “Incomplete Padé approximation and convergence of row sequences of Hermite–Padé approximants”, J. Approx. Theory, 170 (2013), 59–77 | DOI | MR | Zbl
[4] Cacoq J., de la Calle Ysern B., López Lagomasino G., “Direct and inverse results on row sequences of Hermite–Padé approximants”, Constr. Approx., 38:1 (2013), 133–160 | DOI | MR | Zbl
[5] Fabry E., “Sur les points singuliers d'une fonction donnée par son développement en série et l'impossibilité du prolongement analytique dans des cas très généraux”, Ann. sci. Éc. norm. supér. Sér. 3, 13 (1896), 367–399 | MR | Zbl
[6] Gonchar A. A., “O skhodimosti approksimatsii Pade dlya nekotorykh klassov meromorfnykh funktsii”, Mat. sb., 97:4 (1975), 607–629 | MR
[7] Gonchar A. A., “O skhodimosti obobschennykh approksimatsii Pade meromorfnykh funktsii”, Mat. sb., 98:4 (1975), 564–577 | MR | Zbl
[8] Gonchar A. A., “Polyusy strok tablitsy Pade i meromorfnoe prodolzhenie funktsii”, Mat. sb., 115:4 (1981), 590–613 | MR | Zbl
[9] Gonchar A. A., “Ratsionalnye approksimatsii analiticheskikh funktsii”, Sovr. probl. matematiki, 1 (2003), 83–106 | DOI | Zbl
[10] Graves-Morris P. R., Saff E. B., “A de Montessus theorem for vector valued rational interpolants”, Rational approximation and interpolation, Proc. Conf. (Tampa, FL, 1983), Lect. Notes Math., 1105, Springer, Berlin, 1984, 227–242 | DOI | MR
[11] Hadamard J., “Essai sur l'étude des fonctions données par leur développement de Taylor”, J. math. pures appl. Sér. 4, 8 (1892), 101–186
[12] Mandelbrojt S., Dirichlet series: Principles and methods, D. Reidel, Dordrecht, 1972 | MR | Zbl
[13] de Montessus de Ballore R., “Sur les fractions continues algébriques”, Bull. Soc. math. France., 30 (1902), 28–36 | DOI | MR | Zbl
[14] Suetin S. P., “O polyusakh $m$-i stroki tablitsy Pade”, Mat. sb., 120:4 (1983), 500–504 | MR | Zbl
[15] Suetin S. P., “Ob odnoi obratnoi zadache dlya $m$-i stroki tablitsy Pade”, Mat. sb., 124:2 (1984), 238–250 | MR | Zbl