# Legendre polynomials and Ramanujan-type series for 1/*π*

## Authors

Article

- First Online:

- Received:
- Revised:

DOI: 10.1007/s11856-012-0081-5

- Cite this article as:
- Chan, H.H., Wan, J. & Zudilin, W. Isr. J. Math. (2013) 194: 183. doi:10.1007/s11856-012-0081-5

## Abstract

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.

## Copyright information

© Hebrew University Magnes Press 2012