On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a~given function
Sbornik. Mathematics, Tome 34 (1978) no. 3, pp. 367-381
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We establish analogs of the theorem of Montessus de Ballore for rational approximations (of the type of the Padé approximants) to series of orthogonal polynomials and of Faber polynomials.
Bibliography: 11 titles.
@article{SM_1978_34_3_a5,
author = {S. P. Suetin},
title = {On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a~given function},
journal = {Sbornik. Mathematics},
pages = {367--381},
publisher = {mathdoc},
volume = {34},
number = {3},
year = {1978},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1978_34_3_a5/}
}
TY - JOUR AU - S. P. Suetin TI - On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a~given function JO - Sbornik. Mathematics PY - 1978 SP - 367 EP - 381 VL - 34 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1978_34_3_a5/ LA - en ID - SM_1978_34_3_a5 ER -
S. P. Suetin. On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a~given function. Sbornik. Mathematics, Tome 34 (1978) no. 3, pp. 367-381. http://geodesic.mathdoc.fr/item/SM_1978_34_3_a5/