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 Tanh

 http://functions.wolfram.com/01.21.06.0015.01

 Input Form

 Tanh[z] \[Proportional] 1 /; (z -> E^(I \[Phi]) Infinity) && -(Pi/2) < \[Phi] < Pi/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Tanh", "[", "z", "]"]], "\[Proportional]", "1"]], "/;", RowBox[List[RowBox[List["(", RowBox[List["z", "\[Rule]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "\[Phi]"]]], " ", "\[Infinity]"]]]], ")"]], "\[And]", RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], "<", "\[Phi]", "<", FractionBox["\[Pi]", "2"]]]]]]]]]

 MathML Form

 tanh ( z ) 1 /; ( z "\[Rule]" ϕ ) - π 2 < ϕ < π 2 Condition Proportional z 1 Rule z ϕ -1 2 -1 ϕ 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Tanh", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["1", "/;", RowBox[List[RowBox[List["(", RowBox[List["z", "\[Rule]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "\[Phi]"]]], " ", "\[Infinity]"]]]], ")"]], "&&", RowBox[List[RowBox[List["-", FractionBox["\[Pi]", "2"]]], "<", "\[Phi]", "<", FractionBox["\[Pi]", "2"]]]]]]]]]]]

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

 2001-10-29