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 Tanh

 http://functions.wolfram.com/01.21.16.0042.01

 Input Form

 Tanh[n z] == (ChebyshevU[-1 + n, Cosh[z]] Sinh[z])/ChebyshevT[n, Cosh[z]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Tanh", "[", RowBox[List["n", " ", "z"]], "]"]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["ChebyshevU", "[", RowBox[List[RowBox[List[RowBox[List["-", "1"]], "+", "n"]], ",", RowBox[List["Cosh", "[", "z", "]"]]]], "]"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], RowBox[List["ChebyshevT", "[", RowBox[List["n", ",", RowBox[List["Cosh", "[", "z", "]"]]]], "]"]]]]]]]

 MathML Form

 tanh ( n z ) U n - 1 ( cosh ( z ) ) sinh ( z ) T n ( cosh ( z ) ) n z ChebyshevU n -1 z z ChebyshevT n z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Tanh", "[", RowBox[List["n_", " ", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["ChebyshevU", "[", RowBox[List[RowBox[List[RowBox[List["-", "1"]], "+", "n"]], ",", RowBox[List["Cosh", "[", "z", "]"]]]], "]"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], RowBox[List["ChebyshevT", "[", RowBox[List["n", ",", RowBox[List["Cosh", "[", "z", "]"]]]], "]"]]]]]]]

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

 2001-10-29

© 1998-2013 Wolfram Research, Inc.