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).

HypergeometricPFQ (Built-in Mathematica Symbol)

HypergeometricPFQ[{a_1, ..., a_p}, {b_1, ..., b_q}, z] is the generalized hypergeometric function \[Null]_p F_q (a; b; 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]] .... ...

Piecewise (Built-in Mathematica Symbol)

Piecewise[{{val_1, cond_1}, {val_2, cond_2}, ...}] represents a piecewise function with values val_i in the regions defined by the conditions cond_i. Piecewise[{{val_1, ...

ShannonWavelet (Built-in Mathematica Symbol)

ShannonWavelet[] represents the Shannon wavelet evaluated on the equally spaced interval {-10, 10}. ShannonWavelet[lim] represents the Shannon wavelet evaluated on the ...

Pseudorandom Numbers (Mathematica Tutorial)

Mathematica has three functions for generating pseudorandom numbers that are distributed uniformly over a range of values. Pseudorandom number generation. Generating tables ...

ArcTan (Built-in Mathematica Symbol)

ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

ArithmeticGeometricMean (Built-in Mathematica Symbol)

ArithmeticGeometricMean[a, b] gives the arithmetic-geometric mean of a and b.

CosIntegral (Built-in Mathematica Symbol)

CosIntegral[z] gives the cosine integral function Ci(z).