Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11856-012-0081-5
Title: Legendre polynomials and Ramanujan-type series for 1/π
Authors: Chan, H.H. 
Wan, J.
Zudilin, W.
Issue Date: Mar-2013
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
URI: http://scholarbank.nus.edu.sg/handle/10635/103483
ISSN: 00212172
DOI: 10.1007/s11856-012-0081-5
Appears in Collections:Staff Publications

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