\[\dfrac{1}{\pi}\int_{0}^{\pi}\mathcal{C}^{(j)}_{\nu+2s}(2hR)e^{-\mathrm{i}(\nu+%
2s)\phi}\operatorname{me}_{\nu}\left(t,h^{2}\right)\,\mathrm{d}t=(-1)^{s}c^{%
\nu}_{2s}(h^{2}){\operatorname{M}^{(j)}_{\nu}}\left(z,h\right),\]