On the Summation of a New Class of Infinite Series

Peter J. Larcombe1
1Derbyshire Business School University of Derby, Kedleston Road, Derby DE22 1GB, U.K.

Abstract

Previous work on a certain class of non-terminating expansions of the sine function leads directly to a new result for associated infinite series by straightforward integration. A general identity is established, particular cases verified and two proofs of its hypergeometric form given.