Using Assumptions (Mathematica Tutorial)

Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...

InverseZTransform (Built-in Mathematica Symbol)

InverseZTransform[expr, z, n] gives the inverse Z transform of expr. InverseZTransform[expr, {z_1, z_2, ...}, {n_1, n_2, ...}] gives the multiple inverse Z transform of expr.

JacobiCN (Built-in Mathematica Symbol)

JacobiCN[u, m] gives the Jacobi elliptic function cn(u | m).

JacobiDN (Built-in Mathematica Symbol)

JacobiDN[u, m] gives the Jacobi elliptic function dn(u | m).

JacobiSN (Built-in Mathematica Symbol)

JacobiSN[u, m] gives the Jacobi elliptic function sn(u | m).

Coth (Built-in Mathematica Symbol)

Coth[z] gives the hyperbolic cotangent of z.

D (Built-in Mathematica Symbol)

D[f, x] gives the partial derivative \[PartialD]f/\[PartialD]x. D[f, {x, n}] gives the multiple derivative \[PartialD]^n f/\[PartialD]x^n. D[f, x, y, ...] differentiates f ...

AppellF1 (Built-in Mathematica Symbol)

AppellF1[a, b_1, b_2, c, x, y] is the Appell hypergeometric function of two variables F_1 (a; b_1, b_2; c; x, y).

ArcSinh (Built-in Mathematica Symbol)

ArcSinh[z] gives the inverse hyperbolic sine sinh -1 (z) of the complex number z.

BesselJ (Built-in Mathematica Symbol)

BesselJ[n, z] gives the Bessel function of the first kind J_n (z).