cd | cn | cs | dc | dn | ds | nc | nd | ns | sc | ...

The Jacobi elliptic functions are standard forms of elliptic functions. The three basic functions are denoted cn(u, k), dn(u, k), and sn(u, k), where k is known as the elliptic modulus. They arise from the inversion of the elliptic integral of the first kind, u = F(ϕ, k) = integral_0^ϕ (d t)/sqrt(1 - k^2 sin^2 t), where 0

elliptic function | Jacobi amplitude | Jacobi differential equation | Jacobi function of the second kind | Jacobi's imaginary transformation | Jacobi theta functions | Weierstrass elliptic function

Carl Jacobi