\[\boldsymbol{Q}^{\mu}_{\nu}\left(x\right)=\left(\frac{\pi}{2}\right)^{1/2}\left%
(\frac{e}{\mu}\right)^{\nu+(1/2)}\left(\frac{1-\alpha}{1+\alpha}\right)^{\mu/2%
}\*\left(1-\alpha^{2}\right)^{-(\nu/2)-(1/4)}\left(\frac{\alpha^{2}+\eta^{2}}{%
\alpha^{2}\left(x^{2}-1\right)+1}\right)^{1/4}\*I_{\nu+\frac{1}{2}}\left(\mu%
\eta\right)\left(1+O\left(\frac{1}{\mu}\right)\right),\]