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 Csc

 http://functions.wolfram.com/01.10.23.0005.01

 Input Form

 Sum[Csc[z/2^k], {k, 0, n}] == Cot[z/2^(n + 1)] - Cot[z] /; Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "n"], RowBox[List["Csc", "[", FractionBox["z", SuperscriptBox["2", "k"]], "]"]]]], "\[Equal]", RowBox[List[RowBox[List["Cot", "[", FractionBox["z", SuperscriptBox["2", RowBox[List["n", "+", "1"]]]], "]"]], "-", RowBox[List["Cot", "[", "z", "]"]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 k = 0 n csc ( z 2 k ) cot ( z 2 n + 1 ) - cot ( z ) /; n Condition k 0 n z 2 k -1 z 2 n 1 -1 -1 z n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "0"]], "n_"], RowBox[List["Csc", "[", FractionBox["z_", SuperscriptBox["2", "k_"]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["Cot", "[", FractionBox["z", SuperscriptBox["2", RowBox[List["n", "+", "1"]]]], "]"]], "-", RowBox[List["Cot", "[", "z", "]"]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2003-08-21