Hypergeometric identities for 10 extended Ramanujan-type series
Number Theory
2011-04-05 v1
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 when they are convergent. Sometimes, even if they do not converge, they are valid if we consider these identities as limits.
Keywords
Cite
@article{arxiv.1104.0396,
title = {Hypergeometric identities for 10 extended Ramanujan-type series},
author = {Jesus Guillera},
journal= {arXiv preprint arXiv:1104.0396},
year = {2011}
}