q-SERIES RECIPROCITIES AND FURTHER π-FORMULAE

被引：9

作者：

Chu, Wenchang ^{[1
,2
]}

机构：

[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou 466001, Peoples R China

[2] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, POB 193, I-73100 Lecce, Italy

来源：

KODAI MATHEMATICAL JOURNAL | 2018年 / 41卷 / 03期

关键词：

Infinite series of Ramanujan-type; Well-poised series; Quadratic series; Cubic series; Reciprocal relation of q-series; RAMANUJAN-TYPE SERIES; 1/PI;

D O I：

10.2996/kmj/1540951251

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By examining reciprocal relations of basic well-poised, quadratic and cubic series, we establish q-analogues of three infinite series for 1/pi(2) due to Guillera (2003) and lambda-parameter extensions of three infinite series for 1/pi(2) due to Ramanujan (1914). Several further infinite series identities of Ramanujan-type are also derived as consequences.

引用

页码：512 / 530

页数：19

共 21 条

[1] A simple formula for pi [J].