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 Csch

 http://functions.wolfram.com/01.23.08.0001.01

 Input Form

 Csch[z] == (1/z) Product[(Pi^2 k^2)/(z^2 + Pi^2 k^2), {k, 1, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Csch", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["1", "z"], RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[SuperscriptBox["\[Pi]", "2"], " ", SuperscriptBox["k", "2"]]], RowBox[List[SuperscriptBox["z", "2"], "+", RowBox[List[SuperscriptBox["\[Pi]", "2"], " ", SuperscriptBox["k", "2"]]]]]]]]]]]]]]

 MathML Form

 csch ( z ) 1 z k = 1 π 2 k 2 π 2 k 2 + z 2 z 1 z -1 k 1 2 k 2 2 k 2 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Csch", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[SuperscriptBox["\[Pi]", "2"], " ", SuperscriptBox["k", "2"]]], RowBox[List[SuperscriptBox["z", "2"], "+", RowBox[List[SuperscriptBox["\[Pi]", "2"], " ", SuperscriptBox["k", "2"]]]]]]]], "z"]]]]]

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

 2001-10-29