\[\int_{\boldsymbol{\Omega}}A_{\nu_{1}}\left(\mathbf{T}\mathbf{X}\right)B_{-\nu_%
{2}}\left(\mathbf{S}\mathbf{X}\right)\left|\mathbf{X}\right|^{\nu_{1}}\,%
\mathrm{d}{\mathbf{X}}=\frac{1}{A_{\nu_{1}+\nu_{2}}\left(\boldsymbol{{0}}%
\right)}\left|\mathbf{S}\right|^{\nu_{2}}\left|\mathbf{T}+\mathbf{S}\right|^{-%
(\nu_{1}+\nu_{2}+\frac{1}{2}(m+1))},\]