\[C^{(\lambda)}_{\alpha}\left(z\right)=\frac{\Gamma\left(\alpha+2\lambda\right)}%
{\Gamma\left(2\lambda\right)\Gamma\left(\alpha+1\right)}F\left({-\alpha,\alpha%
+2\lambda\atop\lambda+\tfrac{1}{2}};\frac{1-z}{2}\right).\]