Hypergeometric identities for 10 extended Ramanujan-type series

Abstract

We prove, by the WZ-method, some hypergeometric identities which relate ten extended Ramanujan type series to simpler hypergeometric series. The identities we are going to prove are valid for all the values of a parameter $a$ when they are convergent. Sometimes, even if they do not converge, they are valid if we consider these identities as limits.

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• More hypergeometric identities related to Ramanujan-type series