The geometry of Pringsheim's continued fractions

被引：6

作者：

Beardon, AF ^{[1
]}

机构：

[1] Univ Cambridge, Ctr Math Sci, Dept Pure Math & Math Stat, Cambridge CB30 WB, England

来源：

GEOMETRIAE DEDICATA | 2001年 / 84卷 / 1-3期

关键词：

continued fractions; Pringsheim; inverse points;

D O I：

10.1023/A:1010361030641

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a completely geometric interpretation of Pringsheim's classical convergence criterion for continued fractions, and we use this to derive the convergence of, and other information about, the continued fraction.

引用

页码：125 / 134

页数：10

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