Working with Special Functions (Mathematica Tutorial)

Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...

Convolve (Built-in Mathematica Symbol)

Convolve[f, g, x, y] gives the convolution with respect to x of the expressions f and g.Convolve[f, g, {x_1, x_2, ...}, {y_1, y_2, ...}] gives the multidimensional ...

FirstIntegrals (Variational Methods Package Symbol)

FirstIntegrals[f, x[t], t] returns a list of first integrals corresponding to the coordinate x[t] and independent variable t of the integrand f.FirstIntegrals[f, {x[t], y[t], ...

AiryBiPrime (Built-in Mathematica Symbol)

AiryBiPrime[z] gives the derivative of the Airy function Bi^\[Prime] (z).

Erf (Built-in Mathematica Symbol)

Erf[z] gives the error function erf(z). Erf[z_0, z_1] gives the generalized error function erf(z_1) - erf(z_0).

JacobiAmplitude (Built-in Mathematica Symbol)

JacobiAmplitude[u, m] gives the amplitude am(u \[VerticalSeparator] m) for Jacobi elliptic functions.

DistributionParameterAssumptions (Built-in Mathematica Symbol)

DistributionParameterAssumptions[dist] gives a logical expression for assumptions on parameters in the symbolic distribution dist.

HypergeometricPFQRegularized (Built-in Mathematica Symbol)

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

UnitBox (Built-in Mathematica Symbol)

UnitBox[x] represents the unit box function, equal to 1 for |x| <= 1/2 and 0 otherwise.UnitBox[x_1, x_2, ...] represents the multidimensional unit box function, equal to 1 if ...

Fourier Series Package (Fourier Series Package Guide)