jacobi_dc( z , m )
The Jacobi dc function of z and parameter m in SageMath. Defined by
\[ \operatorname{dc}( u | m ) = \frac{ \operatorname{dn}( u | m ) }{ \operatorname{cn}( u | m ) } \]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_dn
Function category: Jacobi elliptic functions sagemath-docs