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 Sin

 http://functions.wolfram.com/01.06.23.0009.01

 Input Form

 Sum[Sin[k x]/k, {k, 1, Infinity}] == (Pi - x)/2 /; 0 < Re[x] < 2 Pi

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List["Sin", "[", RowBox[List["k", " ", "x"]], "]"]], "k"]]], "\[Equal]", FractionBox[RowBox[List["\[Pi]", "-", "x"]], "2"]]], "/;", RowBox[List["0", "<", RowBox[List["Re", "[", "x", "]"]], "<", RowBox[List["2", " ", "\[Pi]"]]]]]]]]

 MathML Form

 k = 1 sin ( k x ) k π - x 2 /; 0 < Re ( x ) < 2 π Condition k 1 k x k -1 -1 x 2 -1 0 x 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List["Sin", "[", RowBox[List["k_", " ", "x_"]], "]"]], "k_"]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["\[Pi]", "-", "x"]], "2"], "/;", RowBox[List["0", "<", RowBox[List["Re", "[", "x", "]"]], "<", RowBox[List["2", " ", "\[Pi]"]]]]]]]]]]

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

 2001-10-29