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.
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页码：512 / 530
页数：19
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