\[\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+\left(\sum_{j=1}^{N}\frac{\gamma_{%
j}}{z-a_{j}}\right)\frac{\mathrm{d}w}{\mathrm{d}z}+\frac{\Phi(z)}{\prod_{j=1}^%
{N}(z-a_{j})}w=0,\]