Legendre polynomials and Ramanujan-type series for 1/π
- First Online:
- Cite this article as:
- Chan, H.H., Wan, J. & Zudilin, W. Isr. J. Math. (2013) 194: 183. doi:10.1007/s11856-012-0081-5
- 229 Downloads
We resolve a family of recently observed identities involving 1/π using the theory of modular forms and hypergeometric series. In particular, we resort to a formula of Brafman which relates a generating function of the Legendre polynomials to a product of two Gaussian hypergeometric functions. Using our methods, we also derive some new Ramanujan-type series.