Setting Up Functions with Optional ... (Mathematica Tutorial)

When you define a complicated function, you will often want to let some of the arguments of the function be "optional". If you do not give those arguments explicitly, you ...

Beta (Built-in Mathematica Symbol)

Beta[a, b] gives the Euler beta function \[CapitalBeta](a, b). Beta[z, a, b] gives the incomplete beta function \[CapitalBeta]_z (a, b).

Cot (Built-in Mathematica Symbol)

Cot[z] gives the cotangent of z.

Csc (Built-in Mathematica Symbol)

Csc[z] gives the cosecant of z.

EllipticF (Built-in Mathematica Symbol)

EllipticF[\[Phi], m] gives the elliptic integral of the first kind F(\[Phi] \[VerticalSeparator] m).

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).

Gamma (Built-in Mathematica Symbol)

Gamma[z] is the Euler gamma function \[CapitalGamma](z). Gamma[a, z] is the incomplete gamma function \[CapitalGamma](a, z). Gamma[a, z_0, z_1] is the generalized incomplete ...

GammaRegularized (Built-in Mathematica Symbol)

GammaRegularized[a, z] is the regularized incomplete gamma function Q(a, z).

Part (Built-in Mathematica Symbol)

expr[[i]] or Part[expr, i] gives the i\[Null]^th part of expr. expr[[-i]] counts from the end. expr[[i, j, ...]] or Part[expr, i, j, ...] is equivalent to expr[[i]][[j]] .... ...