Hypergeometric identities for 10 extended Ramanujan-type series

Details Hypergeometric identities for 10 extended Ramanujan-type series Hypergeometric identities for 10 extended Ramanujan-type series

2011-04-03

arxiv.org/abs/1104.0396v1

Ramanujan J. (2008) 15:219-234

Mathematics

Number Theory

Scientific paper

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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