期刊名称:Journal of Interpolation and Approximation in Scientific Computing
印刷版ISSN:2194-3907
电子版ISSN:2194-3907
出版年度:2016
卷号:2016
期号:2
页码:105-109
DOI:10.5899/2016/jiasc-00109
出版社:ISPACS GmbH
摘要:By employing classical Watson's and Whipple's $_3F_{2}$-summation theorems, recently Liu, et al. have obtained a few Ramanujan type series for $\frac{1}{\pi}$ and deduced twelve interesting formulas for $\frac{1}{\pi}$. The aim of this short research paper is to point out that these twelve interesting formulas for $\frac{1}{\pi}$ can be easily obtained by employing classical Gauss's summation theorem.
关键词:Hypergeometric Summation Theorems; Watson's Theorem; Whipple's Theorem; Ramanujan Series for $\frac{1}{\pi}$