The Ramanujan Journal

, Volume 15, Issue 2, pp 219–234

Hypergeometric identities for 10 extended Ramanujan-type series

Authors

Article

DOI: 10.1007/s11139-007-9074-0

Cite this article as:
Guillera, J. Ramanujan J (2008) 15: 219. doi:10.1007/s11139-007-9074-0

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.

Keywords

Ramanujan seriesHypergeometric identitiesWZ-method

Mathematics Subject Classification (2000)

33C20

Copyright information

© Springer Science+Business Media, LLC 2008