*Mathematica* includes over five hundred higher mathematical
functions, including almost all of the functions of mathematical physics.

- Names of functions are usually complete English words.
- Mathematical functions that are usually referred to by a person's
name have names in
*Mathematica* of the form `PersonSymbol`.
For example, the Legendre polynomials are denoted by
`LegendreP[`*n*`,` *x*`]`.
- If the standard notation for a mathematical function involves both
subscripts and superscripts, the subscript is given before the superscript
in the
*Mathematica* form. For example, the associated Legendre
polynomials are denoted as `LegendreP[`*n*`,` *m*`,`
*x*`]`.