Mathematica includes a very large collection of mathematical functions. "Mathematical Functions" gives the complete list. Here are a few of the common ones. Some common ...

With careful standardization of argument conventions, Mathematica provides full coverage of all standard types of elliptic functions, with arbitrary-precision numerical ...

With careful attention to branch cuts, Mathematica supports trigonometric functions everywhere in the complex plane, with extensive exact and algebraic transformations, ...

There are a variety of ways to describe probability distributions such as probability density or mass, cumulative versions of density and mass, inverses of the cumulative ...

Using original algorithms developed at Wolfram Research, Mathematica evaluates error and exponential integral functions anywhere in the complex plane, to arbitrary ...

Mathematica offers multiple ways of plotting functions of one variable. These include ordinary plots, log plots, parametric plots, and polar plots.

Using original algorithms developed at Wolfram Research, Mathematica has full coverage of all standard Bessel-related functions—evaluating every function to arbitrary ...

Mathematica has a wide coverage of named functions defined by sums and recurrence relations. Often using original algorithms developed at Wolfram Research, Mathematica ...

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

LogGamma[z] gives the logarithm of the gamma function log \[CapitalGamma](z).