- Title
- Legendre polynomials and ramanujan-type series for 1/π
- Creator
- Chan, Heng Huat; Wan , James; Zudilin, W.
- Relation
- ARC.DP110104419 http://purl.org/au-research/grants/arc/DP110104419
- Relation
- Israel Journal of Mathematics Vol. 194, Issue 1, p. 183-207
- Publisher Link
- http://dx.doi.org/10.1007/s11856-012-0081-5
- Publisher
- Hebrew University Magnes Press / Springer
- Resource Type
- journal article
- Date
- 2013
- Description
- 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.
- Subject
- legendre polynomials; ramanujan-type series; Gaussian hypergeometric functions
- Identifier
- http://hdl.handle.net/1959.13/1039866
- Identifier
- uon:13715
- Identifier
- ISSN:0021-2172
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
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