DLMF:

Figure 22.3.29 (See in context.)

Figure 22.3.29: Density plot of $|\mathop{\mathrm{sn}\/}\nolimits\left(30,k\right)|$ as a function of complex $k^{2}$ , $-10\leq\realpart{(k^{2})}\leq 20$ , $-10\leq\imagpart{(k^{2})}\leq 10$ . Grayscale, running from 0 (black) to 10 (white), with $|\mathop{\mathrm{sn}\/}\nolimits\left(30,k\right)|>10$ truncated to 10. White spots correspond to poles.

Annotations:

Symbols:: $\mathop{\mathrm{sn}\/}\nolimits\left(z,k\right)$ : Jacobian elliptic function, $\imagpart{}$ : imaginary part, $\realpart{}$ : real part and $k$ : modulus
Keywords:: Jacobian elliptic functions
Permalink:: http://dlmf.nist.gov/22.3.F29.mag
Encodings:: Magnified png, pdf