Abstract
The modified Abel lemma on summation by parts is employed to investigate the common extension of the Watson and Whipple sums. Several unusual transformation formulae into fast convergent series are established. They lead to numerous infinite series expressions for π.
2010 Mathematics Subject Classification:
Disclosure statement
No potential conflict of interest was reported by the author.
Funding
This work was supported by ‘the Fundamental Research Funds for the Central Universities’.