EllipticK

EllipticK(z)

returns the complete elliptic integral of the first kind.

See

• Wikipedia - Elliptic integral - Complete elliptic integral of the first kind
• Fungrim - Legendre elliptic integrals

Examples

>> Table(EllipticK(x+I), {x,-1.0, 1.0, 1/4})
{1.26549+I*0.16224,1.30064+I*0.18478,1.33866+I*0.21305,1.37925+I*0.24904,1.42127+I*0.29538,1.46203+I*0.35524,1.49611+I*0.43136,1.51493+I*0.52354,1.50924+I*0.62515}

Implementation status

• ✅ - full supported

Github

• Implementation of EllipticK