dn( z, m )

The Jacobi delta amplitude function of z and parameter m in SageMath. Defined by

Note that all Jacobi elliptic functions in Math use the parameter rather than the elliptic modulus k, which is related to the parameter by $m = k^2$.

Real part on the real axis:

Imaginary part on the real axis is zero.

Real part on the imaginary axis:

Imaginary part on the imaginary axis is zero.

Real part on the complex plane:

Imaginary part on the complex plane:

Absolute value on the complex plane:

Related functions:   am   sn   cn

Function category: elliptic functions