\[F_{0}(\zeta)=-\frac{5}{48\zeta^{2}}+\left(\frac{x-1}{x\zeta}\right)^{\frac{1}{%
2}}\left(\frac{1}{2}\alpha^{2}-\frac{1}{8}-\frac{1}{4}\frac{x}{x-1}+\frac{5}{2%
4}\left(\frac{x}{x-1}\right)^{2}\right),\]