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 Cot

 http://functions.wolfram.com/01.09.16.0043.01

 Input Form

 Cot[n z] == (1/n) Sum[Cot[z + (k Pi)/n], {k, 0, n - 1}] /; Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cot", "[", RowBox[List["n", " ", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "n"], RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], RowBox[List["n", "-", "1"]]], RowBox[List["Cot", "[", RowBox[List["z", "+", FractionBox[RowBox[List["k", " ", "\[Pi]"]], "n"]]], "]"]]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 cot ( n z ) 1 n k = 0 n - 1 cot ( z + π k n ) /; n + Condition n z 1 n -1 k 0 n -1 z k n -1 n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cot", "[", RowBox[List["n_", " ", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], RowBox[List["n", "-", "1"]]], RowBox[List["Cot", "[", RowBox[List["z", "+", FractionBox[RowBox[List["k", " ", "\[Pi]"]], "n"]]], "]"]]]], "n"], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2001-10-29