HarmonicNumber (Built-in Mathematica Symbol)

HarmonicNumber[n] gives the n\[Null]^th harmonic number H_n. HarmonicNumber[n, r] gives the harmonic number H_n^(r) of order r.

Im (Built-in Mathematica Symbol)

Im[z] gives the imaginary part of the complex number z.

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).

JacobiDS (Built-in Mathematica Symbol)

JacobiDS[u, m] gives the Jacobi elliptic function ds(u | m).

JacobiNC (Built-in Mathematica Symbol)

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

JacobiND (Built-in Mathematica Symbol)

JacobiND[u, m] gives the Jacobi elliptic function nd(u | m).