An algorithm of infinite sums representations and Tasoev continued fractions

被引：1

作者：

Komatsu, T ^{[1
]}

机构：

[1] Hirosaki Univ, Fac Sci & Technol, Dept Math Syst Sci, Hirosaki, Aomori 0368561, Japan

来源：

MATHEMATICS OF COMPUTATION | 2005年 / 74卷 / 252期

关键词：

continued fractions; infinite sums; Tasoev continued fractions;

D O I：

10.1090/S0025-5718-05-01752-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any given real number, its corresponding continued fraction is unique. However, given an arbitrary continued fraction, there has been no general way to identify its corresponding real number. In this paper we shall show a general algorithm from continued fractions to real numbers via infinite sums representations. Using this algorithm, we obtain some new Tasoev continued fractions.

引用

页码：2081 / 2094

页数：14

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