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 Sqrt

 http://functions.wolfram.com/01.01.16.0078.01

 Input Form

 Sqrt[E^(I z)] == E^(I (z/2)) Exp[Pi I Floor[(Pi - Re[z])/(2 Pi)]]

 Standard Form

 Cell[BoxData[RowBox[List[SqrtBox[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "z"]]]], "\[Equal]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", RowBox[List["z", "/", "2"]]]]], RowBox[List["Exp", "[", RowBox[List["\[Pi]", " ", "\[ImaginaryI]", " ", RowBox[List["Floor", "[", FractionBox[RowBox[List["\[Pi]", "-", RowBox[List["Re", "[", "z", "]"]]]], RowBox[List["2", " ", "\[Pi]"]]], "]"]]]], "]"]]]]]]]]

 MathML Form

 z z 2 π π - Re ( z ) 2 π z 1 2 z 2 -1 -1 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SqrtBox[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "z_"]]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List["\[ImaginaryI]", " ", "z"]], "2"]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["\[Pi]", " ", "\[ImaginaryI]", " ", RowBox[List["Floor", "[", FractionBox[RowBox[List["\[Pi]", "-", RowBox[List["Re", "[", "z", "]"]]]], RowBox[List["2", " ", "\[Pi]"]]], "]"]]]]]]]]]]]

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

 2007-05-02