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 Cosh

 http://functions.wolfram.com/01.20.06.0050.01

 Input Form

 Cosh[z]^2 \[Proportional] -(z - (I Pi)/2)^2 + O[(z - (I Pi)/2)^4]

 Standard Form

 Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["Cosh", "[", "z", "]"]], "2"], "\[Proportional]", RowBox[List[RowBox[List["-", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "2"]]], ")"]], "2"]]], "+", RowBox[List["O", "[", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "2"]]], ")"]], "4"], "]"]]]]]]]]

 MathML Form

 cosh 2 ( z ) - ( z - π 2 ) 2 + O ( ( z - π 2 ) 4 ) Proportional z 2 -1 z -1 2 -1 2 O z -1 2 -1 4 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["Cosh", "[", "z_", "]"]], "2"], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", SuperscriptBox[RowBox[List["(", RowBox[List["z", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "2"]]], ")"]], "2"]]], "+", SuperscriptBox[RowBox[List["O", "[", RowBox[List["z", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "2"]]], "]"]], "4"]]]]]]]

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

 2007-05-02