Abstract
Using some properties of the gamma function and the well-known Gauss summation formula for the classical hypergeometric series, we prove a four-parameter series expansion formula, which can produce infinitely many Ramanujan-type series for 1/π.
| Original language | English |
|---|---|
| Pages (from-to) | 289-297 |
| Number of pages | 9 |
| Journal | International Journal of Number Theory |
| Volume | 8 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 2012 |
Keywords
- Euler's reflection formula
- Hypergeometric series
- Ramanujan-type series for 1/π
- the Gauss summation