Asymptotics of Padé approximants to a certain class of elliptic-type functions

Details Asymptotics of Padé approximants to a certain class of elliptic-type functions Asymptotics of Padé approximants to a certain class of elliptic-type functions

2011-03-18

arxiv.org/abs/1103.3556v1

Mathematics

Classical Analysis and ODEs

30 pages

Scientific paper

In this paper we investigate the question of uniform convergence of Pad\'e
approximants to elliptic functions that can be represented as Cauchy integrals
of Dini-continuous non-vanishing densities given on 3-point Chebotar\"ev
continua.

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