Hypergeometric series summations and π-formulas

被引：1

作者：

Liu, Hongmei ^{[1
]}

机构：

[1] Dalian Nationalities Univ, Sch Sci, Dalian 116600, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 419卷 / 01期

关键词：

Hypergeometric summation formulas; Ramanujan-type series; RAMANUJAN-TYPE SERIES; 1/PI;

D O I：

10.1016/j.jmaa.2014.04.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By two Slater's hypergeometric series identities, we establish two general summation formulas with six free parameters. Specializing certain parameters in these formulas, we obtain a list of Ramanujan-type series formulas for pi, pi(2) and pi(3). (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：553 / 561

页数：9

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