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19 Elliptic IntegralsLegendre’s Integrals19.3 Graphics

Figure 19.3.10 (See in context.)

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Figure 19.3.10: (K(k)) as a function of complex k2 for -2(k2)2, -2(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 (k21) it has the value K(k) if k2>1, and 14π if k2=1. Magnify 3D Help