On the range of universal functions

被引：14

作者：

Costakis, G ^{[1
]}

Melas, A ^{[1
]}

机构：

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

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2000年 / 32卷

关键词：

D O I：

10.1112/S0024609300007268

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the range of universal Taylor series. We prove that every universal Taylor series on the unit disc assumes every complex number, with one possible exception, infinitely often. On the other hand, we prove that on any simply connected domain there exist universal functions that omit one value.

引用

页码：458 / 464

页数：7

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