RegionPlot (Built-in Mathematica Symbol)

RegionPlot[pred, {x, x_min, x_max}, {y, y_min, y_max}] makes a plot showing the region in which pred is True.

FindIntegerNullVector (Built-in Mathematica Symbol)

FindIntegerNullVector[{x_1, x_2, ..., x_n}] finds a list of integers a_i such that a_1 x_1 + a_2 x_2 + \[CenterEllipsis] + a_n x_n == 0. FindIntegerNullVector[{x_1, x_2, ..., ...

BetaRegularized (Built-in Mathematica Symbol)

BetaRegularized[z, a, b] gives the regularized incomplete beta function I_z (a, b).

EllipticK (Built-in Mathematica Symbol)

EllipticK[m] gives the complete elliptic integral of the first kind K(m).

EllipticTheta (Built-in Mathematica Symbol)

EllipticTheta[a, u, q] gives the theta function \[CurlyTheta]_a (u, q) (a = 1, ..., 4).

PolyGamma (Built-in Mathematica Symbol)

PolyGamma[z] gives the digamma function \[Psi](z). PolyGamma[n, z] gives the n\[Null]^th derivative of the digamma function \[Psi] (n) (z).

PolyLog (Built-in Mathematica Symbol)

PolyLog[n, z] gives the polylogarithm function Li_n (z).PolyLog[n, p, z] gives the Nielsen generalized polylogarithm function S n, p (z).

ArcSin (Built-in Mathematica Symbol)

ArcSin[z] gives the arc sine sin -1 (z) of the complex number z.

Undefined (Built-in Mathematica Symbol)

Undefined is a symbol that represents a quantity with no defined value.

ArcCoth (Built-in Mathematica Symbol)

ArcCoth[z] gives the inverse hyperbolic cotangent coth -1 (z) of the complex number z.