A summation formula and Ramanujan type series

作者：Liu, Zhi Guo^*

来源：Journal of Mathematical Analysis and Applications, 2012, 389(2): 1059-1065.

DOI：10.1016/j.jmaa.2011.12.048

• Hypergeometric functions
• Dougall's F-5(4) summation
• Gamma function
• Ramanujan type series

Using some properties of the general rising shifted factorial and the gamma function we derive a variant form of Dougall's F-5(4) summation for the classical hypergeometric functions. This variant form allows us to derive easily many Ramanujan type series for 1/pi and Ramanujan type series for some other constants.

• 出版日期2012-5-15
• 单位华东师范大学