Math.JacobiElliptic

Provides the Jacobi elliptic functions and the amplitude function.

Documentation

jellip

Arguments

:: Char

a letter among c, d, n, s identifying the Neville function at the numerator

-> Char

a letter among c, d, n, s identifying the Neville function at the denominator

-> Complex Double

z, the variable

-> Complex Double

q, the nome

-> Complex Double

Jacobi elliptic function in terms of the nome.

jellip'

Arguments

:: Char

a letter among c, d, n, s identifying the Neville function at the numerator

-> Char

a letter among c, d, n, s identifying the Neville function at the denominator

-> Complex Double

z, the variable

-> Complex Double

m, the squared modulus

-> Complex Double

Jacobi elliptic function in terms of the squared modulus.

am

Arguments

:: Complex Double

u, a complex number

-> Complex Double

m, the squared elliptic modulus

-> Complex Double

The amplitude function.