ellipticCK

Complementary complete elliptic integral of the first kind.

Category: Mathematics > Mathematical Functions

Syntax

K1 = ellipticCK(m)

Returns K(1 - m), the complete integral ellipticK at the complementary parameter.

Description

ellipticCK(m) is denoted K' in the theory. The ratio K'/K fixes the nome of the elliptic functions (see ellipticNome), and ellipticCK grows without bound as m goes to 0.

Input arguments

m
Parameter, 0 <= m <= 1 for real results.

Output arguments

K1
Array of the same size as m.

Example

Complement of K

m = 0.75;
ellipticCK(m)
ellipticK(1 - m)
Output
ans = 1.6858
ans = 1.6858

See also

ellipticK ellipticCE ellipticNome ellipke