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// Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
// Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.,
1982
Number 4,
Pages
3–6
(Mi vmumm4249)
Mathematics
Convergence of Padé approximations
A. V. Vyatchin
Abstract:
If a function
$f$
is holomorphic in the circle
$\{|z|<1\}$
and its Padé approximants have no poles in that circle then these approximants uniformly converge to
$f$
in any circle with radius less than
$0{,}583$
.
UDC:
517.53
Received:
16.01.1981
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Steklov Math. Inst. of RAS
, 2024