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Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11856-012-0081-5
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dc.titleLegendre polynomials and Ramanujan-type series for 1/π
dc.contributor.authorChan, H.H.
dc.contributor.authorWan, J.
dc.contributor.authorZudilin, W.
dc.date.accessioned2014-10-28T02:37:48Z
dc.date.available2014-10-28T02:37:48Z
dc.date.issued2013-03
dc.identifier.citationChan, 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
dc.identifier.issn00212172
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103483
dc.description.abstractWe 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.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s11856-012-0081-5
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1007/s11856-012-0081-5
dc.description.sourcetitleIsrael Journal of Mathematics
dc.description.volume194
dc.description.issue1
dc.description.page183-207
dc.identifier.isiut000318180500008
Appears in Collections:Staff Publications

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