Aquileo | DLMF: Figure 19.3.7 ‣ §19.3 Graphics ‣ Legendre’s Integrals ‣ Chapter 19 Elliptic Integrals

Figure 19.3.7 (See in context.) 3D Help

Figure 19.3.7: $K\left(k\right)$ as a function of complex $k^{2}$ for $-2\leq\Re\left(k^{2}\right)\leq 2$ , $-2\leq\Im\left(k^{2}\right)\leq 2$ . There is a branch cut where $1<k^{2}<\infty$ . 3D Help

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Annotations:

Symbols:: $K\left(\NVar{k}\right)$ : Legendre’s complete elliptic integral of the first kind, $\Im$ : imaginary part, $\Re$ : real part and : real or complex modulus
Permalink:: http://dlmf.nist.gov/19.3.F7.mag
Encodings:: Magnified png, Vizualization, pdf
See also:: Annotations for §19.3 and Ch.19