ExponentialGeneratingFunction (Built-in Mathematica Symbol)

ExponentialGeneratingFunction[expr, n, x] gives the exponential generating function in x for the sequence whose n\[Null]^th term is given by the expression ...

GeneratingFunction (Built-in Mathematica Symbol)

GeneratingFunction[expr, n, x] gives the generating function in x for the sequence whose n\[Null]^th series coefficient is given by the expression ...

Mean (Built-in Mathematica Symbol)

Mean[list] gives the statistical mean of the elements in list. Mean[dist] gives the mean of the symbolic distribution dist.

LegendreQ (Built-in Mathematica Symbol)

LegendreQ[n, z] gives the Legendre function of the second kind Q_n (z). LegendreQ[n, m, z] gives the associated Legendre function of the second kind Q_n^m(z).

NullSpace (Built-in Mathematica Symbol)

NullSpace[m] gives a list of vectors that forms a basis for the null space of the matrix m.

VerticalSlider (Built-in Mathematica Symbol)

VerticalSlider[y] represents a vertical slider at position y with range 0 to 1. VerticalSlider[Dynamic[y]] takes the position to be the dynamically updated current value of ...

FactorialPower (Built-in Mathematica Symbol)

FactorialPower[x, n] gives the factorial power x (n). FactorialPower[x, n, h] gives the step-h factorial power x (n, h).

ThreeJSymbol (Built-in Mathematica Symbol)

ThreeJSymbol[{j_1, m_1}, {j_2, m_2}, {j_3, m_3}] gives the values of the Wigner 3-j symbol.

Introduction to Manipulate (Mathematica Tutorial)

The single command Manipulate lets you create an astonishing range of interactive applications with just a few lines of input. Manipulate is designed to be used by anyone who ...

Interaction with Mathematica (Library Link Tutorial)

Wolfram LibraryLink allows dynamic libraries to be directly loaded into the Mathematica kernel so that functions in the libraries can be immediately called from Mathematica. ...