The Jacobi delta amplitude function of z and parameter m in SageMath. Defined by
\[ \operatorname{dn}( u | m ) = \sqrt{ 1 - m \operatorname{sn}^2( u | m ) } \]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:
Function category: elliptic functions