]> $$\begin{array}{ccc}{\Lambda }_0\left(\phi ,k\right)& =& \frac{F\left(\phi ,\sqrt{1-k^2}\right)}{K\left(\sqrt{1-k^2}\right)}+\frac{2}{\pi }K\left(k\right)Z\left(\phi ,\sqrt{1-k^2}\right)\\ & =& \frac{2}{\pi }\frac{\left(1-k^2\right)\sin \phi \cos \phi }{\text{Δ}}\left(R_F\left(\mathrm{0,1}-k^2,1\right)+\frac{k^2}{3{\text{Δ}}^2}{R}_J\left(\mathrm{0,1}-k^2,\mathrm{1,1}-\frac{k^2}{{\text{Δ}}^2}\right)\right);{\text{Δ}}^2=1-\left(1-k^2\right){\sin }^2\phi \end{array}$$