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).

BetaRegularized (Built-in Mathematica Symbol)

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

Binomial (Built-in Mathematica Symbol)

Binomial[n, m] gives the binomial coefficient ( { {n}, {m} } ).

GammaRegularized (Built-in Mathematica Symbol)

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

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).

SetDelayed (Built-in Mathematica Symbol)

lhs := rhs assigns rhs to be the delayed value of lhs. rhs is maintained in an unevaluated form. When lhs appears, it is replaced by rhs, evaluated afresh each time.

Sign (Built-in Mathematica Symbol)

Sign[x] gives -1, 0, or 1 depending on whether x is negative, zero, or positive.

Zeta (Built-in Mathematica Symbol)

Zeta[s] gives the Riemann zeta function \[Zeta](s). Zeta[s, a] gives the generalized Riemann zeta function \[Zeta](s, a).

Keyboard Shortcut Listing (Mathematica Tutorial)

Documentation Center navigation shortcuts. Window cycling shortcuts. Scrolling shortcuts.

Plot the Results of NDSolve (Mathematica How To)

NDSolve solves a differential equation numerically. It returns solutions in a form that can be readily used in many different ways. One typical use would be to produce a plot ...