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 Cot

 http://functions.wolfram.com/01.09.06.0019.01

 Input Form

 Cot[z] == Sum[z/(z^2 - Pi^2 k^2), {k, -Infinity, Infinity}] /; !Element[z/Pi, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cot", "[", "z", "]"]], "\[Equal]", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", RowBox[List["-", "\[Infinity]"]]]], "\[Infinity]"], FractionBox["z", RowBox[List[SuperscriptBox["z", "2"], "-", RowBox[List[SuperscriptBox["\[Pi]", "2"], " ", SuperscriptBox["k", "2"]]]]]]]]]], "/;", RowBox[List["Not", "[", RowBox[List["Element", "[", RowBox[List[FractionBox["z", "\[Pi]"], ",", "Integers"]], "]"]], "]"]]]]]]

 MathML Form

 cot ( z ) k = - z z 2 - π 2 k 2 /; z π TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition z k -1 z z 2 -1 2 k 2 -1 z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cot", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", RowBox[List["-", "\[Infinity]"]]]], "\[Infinity]"], FractionBox["z", RowBox[List[SuperscriptBox["z", "2"], "-", RowBox[List[SuperscriptBox["\[Pi]", "2"], " ", SuperscriptBox["k", "2"]]]]]]]], "/;", RowBox[List["!", RowBox[List[FractionBox["z", "\[Pi]"], "\[Element]", "Integers"]]]]]]]]]]

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

 2001-10-29