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ComplexExpand

Usage

ComplexExpand[expr] expands expr assuming that all variables are real.
ComplexExpand[expr, { ,  , ... }] expands expr assuming that variables matching any of the  are complex.


Notes

• Example: ComplexExpand[Sin[x + I y]]LongRightArrow .
• The variables given in the second argument of ComplexExpand can be patterns.
• Example: ComplexExpand[Sin[x], x]LongRightArrow .
• The option TargetFunctions can be given as a list of functions from the set {Re, Im, Abs, Arg, Conjugate, Sign}. ComplexExpand will try to give results in terms of functions specified.
ComplexExpand[expr, vars, TargetFunctions -> {Abs, Arg}] converts to polar coordinates.
• New in Version 2.


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