elliptic_eu( *z* , *m* )

The incomplete elliptic integral of the second kind of a modified argument *z* and parameter *m* in SageMath. Defined by

Note that all elliptic integrals 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: elliptic_e elliptic_ec

Function category: elliptic integrals sagemath-docs