@article{SM_1982_42_3_a6,
author = {S. P. Suetin},
title = {On {Montessus} {de~Ballore's} theorem for rational approximants of orthogonal expansions},
journal = {Sbornik. Mathematics},
pages = {399--411},
year = {1982},
volume = {42},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1982_42_3_a6/}
}
S. P. Suetin. On Montessus de Ballore's theorem for rational approximants of orthogonal expansions. Sbornik. Mathematics, Tome 42 (1982) no. 3, pp. 399-411. http://geodesic.mathdoc.fr/item/SM_1982_42_3_a6/
[1] Perron O., Die Lehre von den Kettenbruchen, B. II, Teubner, Stuttgart, 1957 | MR | Zbl
[2] Baker Jr. G. A., The Pade Approximant in Theoretical Physics, eds. Baker and Gammel, Academic Press, New York, 1970 | MR
[3] Suetin S. P., “O skhodimosti ratsionalnykh approksimatsii polinomialnykh razlozhenii v oblastyakh meromorfnosti zadannoi funktsii”, Matem. sb., 105 (147) (1978), 413–430 | MR | Zbl
[4] Fleischner J., “Nonlinear Pade approximants for Legendre series”, J. Math, and Phys., 14:2 (1973), 246–248 | DOI | MR
[5] Rakhmanov E. A., “Ob asimptotike otnosheniya ortogonalnykh mnogochlenov”, Matem. sb., 103 (145) (1977), 237–252 | Zbl
[6] Segë G., Ortogonalnye mnogochleny, Fizmatgiz, M., 1962
[7] Suetin S. P., “O teoreme Montessu de Bolora dlya nelineinykh approksimatsii Pade ortogonalnykh razlozhenii i ryadov Fabera”, DAN SSSR, 253:6 (1980), 1322–1325 | MR | Zbl
[8] Shabat B. V., Vvedenie v kompleksnyi analiz, Ch. II, Nauka, M., 1976 | MR
[9] Smirnov V. I., Lebedev N. A., Konstruktivnaya teoriya funktsii kompleksnogo peremennogo, Nauka, M., L., 1964 | MR