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|Title:||Legendre polynomials and Ramanujan-type series for 1/π|
|Authors:||Chan, H.H. |
|Citation:||Chan, H.H., Wan, J., Zudilin, W. (2013-03). Legendre polynomials and Ramanujan-type series for 1/π. Israel Journal of Mathematics 194 (1) : 183-207. ScholarBank@NUS Repository. https://doi.org/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. © 2012 Hebrew University Magnes Press.|
|Source Title:||Israel Journal of Mathematics|
|Appears in Collections:||Staff Publications|
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