\[\mathscr{W}\left\{\mathsf{P}^{-\mu}_{\nu}\left(x\right),\mathsf{P}^{-\mu}_{\nu%
}\left(-x\right)\right\}=\frac{2}{\Gamma\left(\mu-\nu\right)\Gamma\left(\nu+%
\mu+1\right)\left(1-x^{2}\right)},\]