Parametric improper integrals, Wallis formula and Catalan numbers

被引：8

作者：

Dana-Picard, Thierry ^{[1
]}

Zeitoun, David G. ^{[2
]}

机构：

[1] Jerusalem Coll Technol, Dept Math, Havaad Haleumi St,21, IL-91160 Jerusalem, Israel

[2] Orot Coll Educ, Dept Math, IL-44814 Elkana, Israel

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2012年 / 43卷 / 04期

关键词：

improper integrals; Wallis formula; Catalan numbers;

D O I：

10.1080/0020739X.2011.599877

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

We present a sequence of improper integrals, for which a closed formula can be computed using Wallis formula and a non-straightforward recurrence formula. This yields a new integral presentation for Catalan numbers.

引用

页码：515 / 520

页数：8

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