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