\[\frac{\mathrm{d}}{\mathrm{d}\xi}\left((1-\xi^{2})\frac{\mathrm{d}w_{1}}{%
\mathrm{d}\xi}\right)+\left(\lambda+\gamma^{2}(1-\xi^{2})-\frac{\mu^{2}}{1-\xi%
^{2}}\right)w_{1}=0,\]