html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Exp

 http://functions.wolfram.com/01.03.23.0010.01

 Input Form

 Sum[E^(k w)/k^2, {k, 1, Infinity}] == PolyLog[2, E^w] /; Re[w] <= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[SuperscriptBox["\[ExponentialE]", RowBox[List["k", " ", "w"]]], SuperscriptBox["k", "2"]]]], "\[Equal]", RowBox[List["PolyLog", "[", RowBox[List["2", ",", SuperscriptBox["\[ExponentialE]", "w"]]], "]"]]]], "/;", RowBox[List[RowBox[List["Re", "[", "w", "]"]], "\[LessEqual]", "0"]]]]]]

 MathML Form

 k = 1 k w k 2 Li PolyLog 2 ( w ) /; Re ( w ) 0 Condition k 1 k w k 2 -1 PolyLog 2 w w 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "1"]], "\[Infinity]"], FractionBox[SuperscriptBox["\[ExponentialE]", RowBox[List["k_", " ", "w_"]]], SuperscriptBox["k_", "2"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["2", ",", SuperscriptBox["\[ExponentialE]", "w"]]], "]"]], "/;", RowBox[List[RowBox[List["Re", "[", "w", "]"]], "\[LessEqual]", "0"]]]]]]]]

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

 2001-10-29