New Generalizations of Two Ramanujan Series for $1/π$

RESUMO

By utilizing two hypergeometric summation identities we extend two well-known Ramanujan series for $1/\pi$ by making each of them a member of an infinite family of series. We also find the corresponding families involving harmonic numbers and odd harmonic this http URL further illustrate our method we derive families of Ramanujan-like series associated with a hypergeometric series derived by Lavoie and two hypergeometric series from Bailey's book.