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 Cot

 http://functions.wolfram.com/01.09.06.0007.01

 Input Form

 Cot[z] == (-I) (1 + 2 Sum[q^(2 k), {k, 1, Infinity}]) /; q == E^(I z)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cot", "[", "z", "]"]], "\[Equal]", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["2", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], SuperscriptBox["q", RowBox[List["2", " ", "k"]]]]]]]]], ")"]]]]]], "/;", RowBox[List["q", "\[Equal]", SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "z"]]]]]]]]]

 MathML Form

 cot ( z ) - ( 1 + 2 k = 1 q 2 k ) /; q z Condition z -1 1 2 k 1 q 2 k q z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cot", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["2", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], SuperscriptBox["q", RowBox[List["2", " ", "k"]]]]]]]]], ")"]]]], "/;", RowBox[List["q", "\[Equal]", SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "z"]]]]]]]]]]]

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

 2001-10-29