\[\mathit{Es}^{2m+2}_{\nu}\left(z_{1},k^{2}\right)\frac{\left.\ifrac{\mathrm{d}w%
_{2}(z)}{\mathrm{d}z}\right|_{z=K}-\left.\ifrac{\mathrm{d}w_{2}(z)}{\mathrm{d}%
z}\right|_{z=-K}}{w_{2}(0)}=-\frac{k^{4}}{k^{\prime}}\operatorname{sn}\left(z_%
{1},k\right)\operatorname{cn}\left(z_{1},k\right)\int_{-K}^{K}\operatorname{sn%
}\left(z,k\right)\operatorname{cn}\left(z,k\right)\frac{{\mathrm{d}}^{2}%
\mathsf{P}_{\nu}\left(y\right)}{{\mathrm{d}y}^{2}}\mathit{Es}^{2m+2}_{\nu}%
\left(z,k^{2}\right)\,\mathrm{d}z.\]