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 PolyLog

 http://functions.wolfram.com/10.08.03.0022.01

 Input Form

 PolyLog[2, (1 - Sqrt[5])/2] == -(Pi^2/15) + (1/2) Log[(Sqrt[5] - 1)/2]^2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["2", ",", FractionBox[RowBox[List["1", "-", SqrtBox["5"]]], "2"]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox[SuperscriptBox["\[Pi]", "2"], "15"]]], "+", RowBox[List[FractionBox["1", "2"], SuperscriptBox[RowBox[List["Log", "[", FractionBox[RowBox[List[SqrtBox["5"], "-", "1"]], "2"], "]"]], "2"]]]]]]]]]

 MathML Form

 Li PolyLog 2 ( 1 - 5 2 ) 1 2 log 2 ( 5 - 1 2 ) - π 2 15 PolyLog 2 1 -1 5 1 2 2 -1 1 2 5 1 2 -1 2 -1 2 -1 2 15 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PolyLog", "[", RowBox[List["2", ",", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "-", SqrtBox["5"]]], ")"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[SuperscriptBox["\[Pi]", "2"], "15"]]], "+", RowBox[List[FractionBox["1", "2"], " ", SuperscriptBox[RowBox[List["Log", "[", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[SqrtBox["5"], "-", "1"]], ")"]]]], "]"]], "2"]]]]]]]]]

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

 2001-10-29