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 Power

 http://functions.wolfram.com/01.02.16.0068.01

 Input Form

 z^(I a) == (z^a)^I /; Inequality[-Pi, Less, Im[a Log[z]], LessEqual, Pi]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["z", RowBox[List["\[ImaginaryI]", " ", "a"]]], "\[Equal]", SuperscriptBox[RowBox[List["(", SuperscriptBox["z", "a"], ")"]], "\[ImaginaryI]"]]], " ", "/;", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["Im", "[", RowBox[List["a", " ", RowBox[List["Log", "[", "z", "]"]]]], "]"]], "\[LessEqual]", "\[Pi]"]]]]]]

 MathML Form

 z a ( z a ) /; - π < Im ( a log ( z ) ) π Condition z a z a Inequality -1 a z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox["z_", RowBox[List["\[ImaginaryI]", " ", "a_"]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", SuperscriptBox["z", "a"], ")"]], "\[ImaginaryI]"], "/;", RowBox[List[RowBox[List["-", "\[Pi]"]], "<", RowBox[List["Im", "[", RowBox[List["a", " ", RowBox[List["Log", "[", "z", "]"]]]], "]"]], "\[LessEqual]", "\[Pi]"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2007-05-02