SphericalHankelH1[n, z] gives the spherical Hankel function of the first kind h_n^(1)(z).

WeierstrassInvariants[{\[Omega], \[Omega]^\[Prime]}] gives the invariants {g_2, g_3} for Weierstrass elliptic functions corresponding to the half-periods {\[Omega], ...

Mathematica has a very general notion of functions, as rules for arbitrary transformations. Values for variables are also assigned in this manner. When you set a value for a ...

Content in a Mathematica notebook is organized in cells. Each cell has a cell bracket that appears along the right edge of the notebook window. Markings on a cell bracket ...

Catch[expr] returns the argument of the first Throw generated in the evaluation of expr. Catch[expr, form] returns value from the first Throw[value, tag] for which form ...

Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...

Mathematica's unified architecture allows every aspect of Mathematica's interface to be controlled and specified programmatically using the symbolic constructs and functions ...

Mathematica has a rich syntax carefully designed for consistency and efficient, readable entry of Mathematica's many language, mathematical, and other constructs. In addition ...

ParallelArray[f, n] generates in parallel a list of length n, with elements f[i], evaluated.ParallelArray[f, {n_1, n_2, ...}] generates in parallel an n_1*n_2*... array of ...

Mathematica's unified symbolic architecture allows arbitrary extensibility in the output and input of notation.