WZ pairs and q-analogues of Ramanujan series for 1/

被引：17

作者：

Guillera, Jesus ^{[1
]}

机构：

[1] Univ Zaragoza, Dept Math, E-50009 Zaragoza, Spain

来源：

关键词：

Hypergeometric series; WZ and q-WZ pairs; q-identities; supercongruences;

D O I：

10.1080/10236198.2018.1551380

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove q-analogues of two Ramanujan-type series for from q-analogues of ordinary WZ pairs.

引用

页码：1871 / 1879

页数：9

共 8 条

[1]

Amdeberhan T., 1997, ELECTRON J COMB, V4, pR3

[2] Generators of some Ramanujan formulas [J].

Guillera, J .

[3]

Guillera J, 2007, THESIS

[4] A q-microscope for supercongruences [J].

Guo, Victor J. W. ;

Zudilin, Wadim .

[5] q-Analogues of two Ramanujan-type formulas for 1/π [J].

Guo, Victor J. W. ;

Liu, Ji-Cai .

[6] Ramanujan-type formulae for 1/: q-analogues [J].

Guo, Victor J. W. ;

Zudilin, Wadim .

[7]

ZEILBERGER D, 1993, CONT MATH, V143, P579

[8] Ramanujan-type supercongruences [J].

Zudilin, Wadim .