- Title
- A generating function of the squares of legendre polynomials
- Creator
- Zudilin, Wadim
- Relation
- Australian Research Council.DP140101186 http://purl.org/au-research/grants/arc/DP140101186
- Relation
- Bulletin of the Australian Mathematical Society Vol. 89, Issue 1, p. 125-131
- Publisher Link
- http://dx.doi.org/10.1017/S0004972713000233
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2014
- Description
- We relate a one-parametric generating function for the squares of Legendre polynomials to an arithmetic hypergeometric series whose parametrisation by a level 7 modular function was recently given by Cooper. By using this modular parametrisation we resolve a subfamily of identities involving 1/ π which was experimentally observed by Sun.
- Subject
- π; legendre polynomial; generating series; bionomial sum; modular function
- Identifier
- http://hdl.handle.net/1959.13/1063880
- Identifier
- uon:17399
- Identifier
- ISSN:0004-9727
- Language
- eng
- Reviewed
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