ZTransform (Built-in Mathematica Symbol)

ZTransform[expr, n, z] gives the Z transform of expr. ZTransform[expr, {n_1, n_2, ...}, {z_1, z_2, ...}] gives the multidimensional Z transform of expr.

DiscreteShift (Built-in Mathematica Symbol)

DiscreteShift[f, i] gives the discrete shift DiscreteShift[f(i), i] == f(i + 1). DiscreteShift[f, {i, n}] gives the multiple shift \[DiscreteShift]_i^n\ f.DiscreteShift[f, ...

Special Characters (Mathematica Guide)

Mathematica not only has systemwide support for arbitrary Unicode characters, but also includes nearly a thousand carefully designed characters for mathematical notation and ...

Parallel Computation (Compiled Function Tools Tutorial)

The Mathematica compiler can run computations in parallel. It does this by threading a compiled function over lists of data in parallel. A first step is to create a compiled ...

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 ...

Floor (Built-in Mathematica Symbol)

Floor[x] gives the greatest integer less than or equal to x. Floor[x, a] gives the greatest multiple of a less than or equal to x.

FourierSequenceTransform (Built-in Mathematica Symbol)

FourierSequenceTransform[expr, n, \[Omega]] gives the Fourier sequence transform of expr.FourierSequenceTransform[expr, {n_1, n_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives ...

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).

CoefficientRules (Built-in Mathematica Symbol)

CoefficientRules[poly, {x_1, x_2, ...}] gives the list {{e_11, e_12, ...} -> c_1, {e_21, ...} -> c_2, ...} of exponent vectors and coefficients for the monomials in poly with ...

EulerE (Built-in Mathematica Symbol)

EulerE[n] gives the Euler number E_n. EulerE[n, x] gives the Euler polynomial E_n (x).