ellipticCPi

Complementary complete elliptic integral of the third kind.

Category: Mathematics > Mathematical Functions

Syntax

P1 = ellipticCPi(n, m)

Description

It is the complete integral of the third kind taken at the complementary parameter, in the same way as ellipticCK and ellipticCE for the first and second kinds. It is useful in period formulas for pendulum and orbit problems.

Input arguments

n

Characteristic of the integral.

m

Parameter, with 0 <= m <= 1.

Output arguments

P1

Array formed by broadcasting n and m.

Example

Complement of Pi

ellipticCPi(0.3, 0.2)
ellipticPi(0.3, 0.8)

ans = 2.7938
ans = 2.7938

See also

ellipticPi ellipticCK ellipticCE ellipticK