FunctionExpand

Usage

• 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.

Notes

• 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 3.2.14.

• Implementation notes: see Section A.9.5.

• See also: TrigExpand, TrigToExp, ComplexExpand, FullSimplify.

• New in Version 3; modified in 5.

Further Examples