FunctionExpand

FunctionExpand[expr] tries to expand out special and certain other functions in expr, when possible reducing compound arguments to simpler ones.

FunctionExpand[expr, assum] expands using assumptions.

FunctionExpand uses a large collection of rules.

FunctionExpand applies to certain trigonometric functions as well as special functions.

FunctionExpand is automatically called by FullSimplify.

Assumptions in FunctionExpand can be specified as in Simplify.

Example: FunctionExpand[expr, x Reals] performs expansion assuming that x is real.

FunctionExpand has the option Assumptions, specifying default assumptions to be appended to assum.

The default setting for the Assumptions option is $Assumptions.

You can specify default assumptions for FunctionExpand using Assuming.

See Section 3.2.13.

Implementation Notes: see Section A.9.5.

See also: TrigExpand, TrigToExp, ComplexExpand, FullSimplify.

New in Version 3; modified in 5.0.

Further Examples