jacobi_nc( z , m )

The Jacobi nc function of z and parameter m in SageMath. The reciprocal of cn:

\[ \operatorname{nc}( u | m ) = \frac{ 1 }{ \operatorname{cn}( u | m ) } \]

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

Plot on the real axis:

Series expansion about the origin:

Special values:

Related functions:   jacobi_cn   jacobi_ns   jacobi_nd

Function category: Jacobi elliptic functions sagemath-docs