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FunctionExpand

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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.

MORE INFORMATION

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.

FunctionExpand[expr, xReals] 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.

FunctionExpand automatically threads over lists in expr, as well as equations, inequalities and logic functions.

Basic Examples (2)

Expand constants:

Find expansion in terms of simpler functions:

Applications (1)

Properties & Relations (2)

Possible Issues (2)

TrigExpand TrigToExp ComplexExpand FullSimplify

Working with Special Functions

Putting Expressions into Different Forms

Using Assumptions

Implementation notes: Algebra and Calculus

NKS|Online (A New Kind of Science)

Algebraic Transformations

Assumptions and Domains

Formula Manipulation

Number Recognition

Trigonometric Functions

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