elliptic_PI {Carlson}

Incomplete elliptic integral of the third kind

Description

Evaluate the incomplete elliptic integral of the third kind.

Usage

elliptic_PI(phi, n, m, minerror = 1e-15)

Arguments

phi

amplitude, real or complex number/vector

n

characteristic, real or complex number/vector

m

parameter, real or complex number/vector

minerror

the bound on the relative error passed to Carlson_RF and Carlson_RJ

Value

A complex number or vector, the value(s) of the incomplete elliptic integral Π(φ,n,m).

Examples

elliptic_PI(1, 0.8, 0.2)
gsl::ellint_P(1, sqrt(0.2), -0.8)