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19 Elliptic IntegralsLegendre’s Integrals19.3 Graphics
Figure 19.3.12 (See in context.) 3D Help
See accompanying text
Figure 19.3.12: ℑ⁡(E⁡(k)) as a function of complex k2 for −2≤ℜ⁡(k2)≤2, −2≤ℑ⁡(k2)≤2. The imaginary part is 0 for k2≤1 and is antisymmetric under reflection in the real axis. On the upper edge of the branch cut (k2>1) it has the (negative) value K⁡(k′)−E⁡(k′), with limit 0 as k2→1+. 3D Help