A summation formula and Ramanujan type series

Zhi Guo Liu

doi:10.1016/j.jmaa.2011.12.048

A summation formula and Ramanujan type series

Zhi Guo Liu^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

Using some properties of the general rising shifted factorial and the gamma function we derive a variant form of Dougall's F45 summation for the classical hypergeometric functions. This variant form allows us to derive easily many Ramanujan type series for 1/π and Ramanujan type series for some other constants.

源语言	英语
页（从-至）	1059-1065
页数	7
期刊	Journal of Mathematical Analysis and Applications
卷	389
期	2
DOI	https://doi.org/10.1016/j.jmaa.2011.12.048
出版状态	已出版 - 15 5月 2012

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AB - Using some properties of the general rising shifted factorial and the gamma function we derive a variant form of Dougall's F45 summation for the classical hypergeometric functions. This variant form allows us to derive easily many Ramanujan type series for 1/π and Ramanujan type series for some other constants.

KW - Dougall's F45 summation

KW - Gamma function

KW - Hypergeometric functions

KW - Ramanujan type series

UR - https://www.scopus.com/pages/publications/84856248801

U2 - 10.1016/j.jmaa.2011.12.048

DO - 10.1016/j.jmaa.2011.12.048

M3 - 文章

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JO - Journal of Mathematical Analysis and Applications

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IS - 2

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A summation formula and Ramanujan type series

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