MeijerG (Built-in Mathematica Symbol)

MeijerG[{{a_1, ..., a_n}, {a n + 1, ..., a_p}}, {{b_1, ..., b_m}, {b m + 1, ..., b_q}}, z] is the Meijer G function G_p q^m n(z \[VerticalSeparator] {{a_1, ..., a_p}, {b_1, ...

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).

StateSpaceTransform (Built-in Mathematica Symbol)

StateSpaceTransform[ss, s_1] transforms the StateSpaceModel object ss using the similarity matrix s_1.StateSpaceTransform[ss, {s_1, s_2}] computes the transformation using ...

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).

DoubleStep Method for NDSolve (Mathematica Tutorial)

The method "DoubleStep" performs a single application of Richardson's extrapolation for any one-step integration method. Although it is not always optimal, it is a general ...

Nonlinear Conjugate Gradient Methods (Mathematica Tutorial)

The basis for a nonlinear conjugate gradient method is to effectively apply the linear conjugate gradient method, where the residual is replaced by the gradient. A model ...

SphericalPlot3D (Built-in Mathematica Symbol)

SphericalPlot3D[r, \[Theta], \[Phi]] generates a 3D plot with a spherical radius r as a function of spherical coordinates \[Theta] and \[Phi].SphericalPlot3D[r, {\[Theta], ...

StableDistribution (Built-in Mathematica Symbol)

StableDistribution[type, \[Alpha], \[Beta], \[Mu], \[Sigma]] represents the stable distribution S_type with index of stability \[Alpha], skewness parameter \[Beta], location ...

Summary of New Features in Mathematica 8 (Mathematica Guide)

EllipticE (Built-in Mathematica Symbol)

EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).