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 Tanh

 http://functions.wolfram.com/01.21.04.0006.01

 Input Form

 Residue[Tanh[z], {z, (Pi I)/2 + Pi k I}] == 1 /; Element[k, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Residue", "[", RowBox[List[RowBox[List["Tanh", "[", "z", "]"]], ",", RowBox[List["{", RowBox[List["z", ",", " ", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"], "+", RowBox[List["\[Pi]", " ", "k", " ", "\[ImaginaryI]"]]]]]], "}"]]]], "]"]], " ", "\[Equal]", " ", "1"]], " ", "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]

 MathML Form

 res z ( tanh ( z ) ) ( π 2 + π k ) 1 /; k TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition Subscript res z z 2 -1 k 1 k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Residue", "[", RowBox[List[RowBox[List["Tanh", "[", "z_", "]"]], ",", RowBox[List["{", RowBox[List["z_", ",", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "2"], "+", RowBox[List["\[Pi]", " ", "k_", " ", "\[ImaginaryI]"]]]]]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["1", "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29