Some remarks on universal functions and Taylor series

被引：31

作者：

Costakis, G ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2000年 / 128卷

关键词：

D O I：

10.1017/S0305004199003886

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive properties of universal functions and Taylor series in domains of the complex plane. For some of our results we use Baire's theorem. We also give a constructive proof, avoiding Baire's theorem, of the existence of universal Taylor series in any arbitrary simply connected domain.

引用

页码：157 / 175

页数：19

共 30 条

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