\[\sqrt{\pi}\left(\tfrac{1}{2}m\right)^{(m-2)/(2m)}\csc\left(\ifrac{\pi}{m}%
\right)B_{n}\left(z\right)=\begin{cases}U_{m}(-t),&m\text{ even},\\
\overline{V}_{m}(t),&m\text{ odd}.\end{cases}\]