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19 Elliptic IntegralsLegendre’s Integrals19.3 Graphics

Figure 19.3.12 (See in context.)

Figure 19.3.12: (E(k)) as a function of complex k2 for -2(k2)2, -2(k2)2. The imaginary part is 0 for k21 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 k21+.
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