SphericalBesselJ[n, z] gives the spherical Bessel function of the first kind j_n (z).
SphericalBesselY[n, z] gives the spherical Bessel function of the second kind y_n (z).
SphericalHankelH1[n, z] gives the spherical Hankel function of the first kind h_n^(1)(z).
SphericalHankelH2[n, z] gives the spherical Hankel function of the second kind h_n^(2)(z).
Timing
(Built-in Mathematica Symbol) Timing[expr] evaluates expr, and returns a list of the time in seconds used, together with the result obtained.
WeberE
(Built-in Mathematica Symbol) WeberE[\[Nu], z] gives the Weber function E \[Nu] (z).WeberE[\[Nu], \[Mu], z] gives the associated Weber function E_\[Nu]^\[Mu](z).
WeierstrassInvariants[{\[Omega], \[Omega]^\[Prime]}] gives the invariants {g_2, g_3} for Weierstrass elliptic functions corresponding to the half-periods {\[Omega], ...
Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...
There are many Mathematica packages that implement symbolic mathematical operations. Here are a few examples drawn from the standard set of packages distributed with ...
"Introduction to Manipulate" and "Introduction to Dynamic" provide most of the information you need to use Mathematica's interactive features accessible through the functions ...