InverseEllipticNomeQ (Built-in Mathematica Symbol)

InverseEllipticNomeQ[q] gives the parameter m corresponding to the nome q in an elliptic function.

JacobiAmplitude (Built-in Mathematica Symbol)

JacobiAmplitude[u, m] gives the amplitude am(u \[VerticalSeparator] m) for Jacobi elliptic functions.

JacobiCD (Built-in Mathematica Symbol)

JacobiCD[u, m] gives the Jacobi elliptic function cd(u | m).

JacobiCS (Built-in Mathematica Symbol)

JacobiCS[u, m] gives the Jacobi elliptic function cs(u | m).

JacobiDC (Built-in Mathematica Symbol)

JacobiDC[u, m] gives the Jacobi elliptic function dc(u | m).

JacobiNC (Built-in Mathematica Symbol)

JacobiNC[u, m] gives the Jacobi elliptic function nc(u | m).

JacobiNS (Built-in Mathematica Symbol)

JacobiNS[u, m] gives the Jacobi elliptic function ns(u | m).

JacobiSC (Built-in Mathematica Symbol)

JacobiSC[u, m] gives the Jacobi elliptic function sc(u | m).

JacobiZeta (Built-in Mathematica Symbol)

JacobiZeta[\[Phi], m] gives the Jacobi zeta function Z(\[Phi] \[VerticalSeparator] m).

KleinInvariantJ (Built-in Mathematica Symbol)

KleinInvariantJ[\[Tau]] gives the Klein invariant modular elliptic function J(\[Tau]).