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 Tanh

 http://functions.wolfram.com/01.21.27.0045.01

 Input Form

 Tanh[z] == Sinh[z]/Sqrt[1 + Sinh[z]^2] /; Abs[Im[z]] < Pi/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Tanh", "[", "z", "]"]], "\[Equal]", FractionBox[RowBox[List["Sinh", "[", "z", "]"]], SqrtBox[RowBox[List["1", "+", SuperscriptBox[RowBox[List["Sinh", "[", "z", "]"]], "2"]]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]

 MathML Form

 tanh ( z ) sinh ( z ) sinh 2 ( z ) + 1 /; "\[LeftBracketingBar]" Im ( z ) "\[RightBracketingBar]" < π 2 Condition z z z 2 1 1 2 -1 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Tanh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["Sinh", "[", "z", "]"]], SqrtBox[RowBox[List["1", "+", SuperscriptBox[RowBox[List["Sinh", "[", "z", "]"]], "2"]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]]]

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

 2001-10-29

© 1998-2013 Wolfram Research, Inc.