Elliptic Functions
Elliptic Integrals
plot an elliptic integral
plot EllipticE(t)
compute a series expansion for nome
series EllipticNomeQ(m)
compute the derivative of the Jacobi amplitude function
d/dz am(z, m)
Jacobi Elliptic Functions
plot sn(z, m) for a fixed z
plot sn(1/2, m)
compute a series expansion for cn(z, m)
series cn(z, m) in z
compute compositions of elliptic functions and integrals
JacobiDN(EllipticK(k), k)
Theta Functions
plot a Jacobi theta function
plot theta2(x, 1/3)
evaluate a Neville theta function numerically
NevilleThetaC(2.5, 0.3)
plot a Neville theta function