Overconvergent series of rational functions and universal Laurent series

被引：8

作者：

Mueller, J. ^{[1
]}

Vlachou, V. ^{[2
]}

Yavrian, A. ^{[3
]}

机构：

[1] Univ Trier, Fachbereich 4, D-54286 Trier, Germany

[2] Univ Patras, Dept Math, Patras 26500, Greece

[3] Armenian Natl Acad Sci, Inst Math, Yerevan 375019, Armenia

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2008年 / 104卷 / 1期

关键词：

D O I：

10.1007/s11854-008-0023-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, series of rational functions with fixed poles, which have restricted growth near the poles are considered. If they converge with a geometric rate on a continuum, a phenomenon of overconvergence takes place, in the sense that the convergence extends to a certain maximal domain. From this result, some properties of universal Laurent series are derived.

引用

页码：235 / 245

页数：11

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