DLMF:

22 Jacobian Elliptic Functions Properties 22.3 Graphics 22.3 Graphics 22.4 Periods, Poles, and Zeros

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 : modulus
Keywords:: Jacobian elliptic functions
Permalink:: http://dlmf.nist.gov/22.3.F29.mag
Encodings:: Magnified png, pdf

© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available. 22.3 Graphics 22.4 Periods, Poles, and Zeros