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.

Examples

Expand a logarithm of a product:

FunctionExpand[Log[a b], a > 0 && b > 0]

Expand special functions:

FunctionExpand[Gamma[n + 1/2], n ∈ Integers && n >= 0]

Please visit the official Wolfram Language Reference for more details.