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