Some new formulas for π

被引：11

作者：

Almkvist, G ^{[1
]}

Krattenthaler, C

Petersson, J

机构：

[1] Lund Univ, Inst Matemat, SE-22100 Lund, Sweden

[2] Univ Lyon 1, Inst Girard Desargues, F-69622 Villeurbanne, France

来源：

EXPERIMENTAL MATHEMATICS | 2003年 / 12卷 / 04期

关键词：

Fast converging series for pi; determinant evaluations;

D O I：

10.1080/10586458.2003.10504512

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how to find series expansions for pi of the form pi = Sigma(n=0)(infinity) S(n)/((mn)(pn)) a(n), is some polynomial in n (depending on m,p,a). We prove that there exist such expansions for m = 8k, p = 4k, a = (-4)(k), for any k, and give explicit examples for such expansions for small values of m, p and a.

引用

页码：441 / 456

页数：16

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