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 Csch

 http://functions.wolfram.com/01.23.04.0007.01

 Input Form

 Residue[Csch[z], {z, Pi I k}] == (-1)^k /; Element[k, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Residue", "[", RowBox[List[RowBox[List["Csch", "[", "z", "]"]], ",", RowBox[List["{", RowBox[List["z", ",", RowBox[List["\[Pi]", " ", "\[ImaginaryI]", " ", "k"]]]], "}"]]]], "]"]], "\[Equal]", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"]]], "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Residue", "[", RowBox[List[RowBox[List["Csch", "[", "z_", "]"]], ",", RowBox[List["{", RowBox[List["z_", ",", RowBox[List["\[Pi]", " ", "\[ImaginaryI]", " ", "k_"]]]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "k"], "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29