A generating function of the squares of Legendre polynomials [PDF]
Wadim ZudilinWe 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 Shaun Cooper. By using this modular parametrisation we resolve a subfamily of identities involving $1/\pi$ which was experimentally observed by Zhi-Wei Sun.View original: http://arxiv.org/abs/1210.2493
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