NEW REPRESENTATIONS FOR APERY-LIKE SEQUENCES

被引：29

作者：

Chan, Heng Huat ^{[1
,2
]}

Zudilin, Wadim ^{[3
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

[2] Max Planck Inst Math, D-53111 Bonn, Germany

[3] Univ Newcastle, Sch Math & Phys Sci, Callaghan, NSW 2308, Australia

来源：

MATHEMATIKA | 2010年 / 56卷 / 01期

关键词：

FORMULAS; NUMBERS; SERIES;

D O I：

10.1112/S0025579309000436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove algebraic transformations for the generating series of three Apery-like sequences. As application, we provide new binomial representations for the sequences. We also illustrate a method that derives three new series for 1/pi from a classical Ramanujan's series.

引用

页码：107 / 117

页数：11

共 13 条

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[3]

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[9]

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