\[\int_{0}^{\infty}\sin\left(2h\cos y\cosh t\right)\operatorname{Ce}_{2n}\left(t%
,h^{2}\right)\,\mathrm{d}t=-\dfrac{\pi A_{0}^{2n}(h^{2})}{2\operatorname{ce}_{%
2n}\left(\frac{1}{2}\pi,h^{2}\right)}\*\left(\operatorname{ce}_{2n}\left(y,h^{%
2}\right)\mp\dfrac{2}{\pi C_{2n}(h^{2})}\operatorname{fe}_{2n}\left(y,h^{2}%
\right)\right),\]