Proofs of conjectures on Ramanujan-type series of level 3

John M. Campbell

A Ramanujan-type series satisfies $$ \frac{1}π = \sum_{n=0}^{\infty} \frac{\left( \frac{1}{2} \right)_{n} \left( \frac{1}{s} \right)_{n} \left(1 - \frac{1}{s} \right)_{n} }{ \left(…