RamanujanTauZ[t] gives the Ramanujan tau Z-function Z(t).

When you make a sequence of definitions in Mathematica, some may be more general than others. Mathematica follows the principle of trying to put more general definitions ...

Mathieu and related functions. The Mathieu functions MathieuC[a,q,z] and MathieuS[a,q,z] are solutions to the equation y^′′+[a-2qcos(2z)]y0. This equation appears in many ...

When Solve cannot find solutions in terms of radicals to polynomial equations, it returns a symbolic form of the result in terms of Root objects. You can get numerical ...

LatticeData[lattice, " property"] gives the specified property for a lattice.LatticeData[n] gives a list of named lattices of dimension n.

MeshFunctions is an option for plotting functions that specifies functions to use to determine the placement of mesh divisions.

When you make a function definition using :=, the value of the function is recomputed every time you ask for it. In some kinds of calculations, you may end up asking for the ...

BetaRegularized[z, a, b] gives the regularized incomplete beta function I_z (a, b).

Typical ways to enter characters. All printable ASCII characters can be entered directly. Those that are not alphanumeric are assigned explicit names in Mathematica, allowing ...

Functions relating real numbers and integers. Extracting integer and fractional parts. IntegerPart[x] and FractionalPart[x] can be thought of as extracting digits to the left ...