I am interested in the following integral $$I=\int_{-1}^{1} P_s^t(x)P_u^v(x)\mathrm{d}x~.$$ Does any one know if a closed form exist for a general $s, t, u, v$, and for $t\neq v$ and $s\neq u$?
2026-03-26 04:34:37.1774499677
Integration of product of Associated Legendre Polynomial
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