RUS  ENG
Full version
JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1983 Volume 122(164), Number 4(12), Pages 475–480 (Mi sm2308)

This article is cited in 8 papers

The poles of the $m$th row of the Padé table and the singular points of a function

V. V. Vavilov, V. A. Prokhorov, S. P. Suetin


Abstract: The connection is considered between the asymptotic behavior of the poles of the $m$th row of the Padé table of a function given by a Taylor series and the singular points of this function on the boundary of its disk of $m$-meromorphy.
Bibliography: 6 titles.

UDC: 517.53

MSC: Primary 30B70, 41A21; Secondary 30D30

Received: 14.04.1983


 English version:
Mathematics of the USSR-Sbornik, 1985, 50:2, 457–463

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024