New series identities for 1 / π

In the theory of hypergeometric and generalized hypergeometric series, classical summation theorems have been found interesting applications in obtaining various series identities for π, π² and 1 / π. The aim of this research paper is to provide twelve general formulas for 1 / π. On specializing the parameters, a large number of very interesting series identities for 1 / π not previously appeared in the literature have been obtained. Also, several other results for multiples of π, π², 1 π / ², 1 π / ³ and 1 √ π have been obtained. The results are established with the help of the extensions of classical Gauss's summation theorem available in the literature.