Thursday, January 10, 2013

1301.1735 (Yajun Zhou)

Legendre Functions, Spherical Rotations, and Multiple Elliptic Integrals    [PDF]

Yajun Zhou
A closed-form formula is derived for the generalized Clebsch-Gordan integral $ \int_{-1}^1 {[}P_{\nu}(x){]}^2P_{\nu}(-x)\D x$, with $ P_\nu$ being the Legendre function of arbitrary complex degree $ \nu\in\mathbb C$. The finite Hilbert transform of $ P_{\nu}(x)P_{\nu}(-x),-1View original:

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