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 Log

 http://functions.wolfram.com/01.04.16.0068.01

 Input Form

 Log[I/z] == (I Pi)/2 + 2 I Pi Floor[1/4 + Arg[z]/(2 Pi)] - Log[z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Log", "[", FractionBox["\[ImaginaryI]", "z"], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "2"], "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "\[Pi]", " ", RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "4"], "+", FractionBox[RowBox[List["Arg", "[", "z", "]"]], RowBox[List["2", " ", "\[Pi]"]]]]], "]"]]]], "-", RowBox[List["Log", "[", "z", "]"]]]]]]]]

 MathML Form

 log ( z ) π 2 + 2 π arg ( z ) 2 π + 1 4 - log ( z ) z -1 2 -1 2 z 2 -1 1 4 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Log", "[", FractionBox["\[ImaginaryI]", "z_"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "2"], "+", RowBox[List["2", " ", "\[ImaginaryI]", " ", "\[Pi]", " ", RowBox[List["Floor", "[", RowBox[List[FractionBox["1", "4"], "+", FractionBox[RowBox[List["Arg", "[", "z", "]"]], RowBox[List["2", " ", "\[Pi]"]]]]], "]"]]]], "-", RowBox[List["Log", "[", "z", "]"]]]]]]]]

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

 2007-05-02