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 http://functions.wolfram.com/06.36.06.0009.01

 Input Form

 LogIntegral[x] == (-x) Sum[LaguerreL[k, -Log[x]]/(k + 1), {k, 0, Infinity}] /; 0 < x < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LogIntegral", "[", "x", "]"]], "\[Equal]", RowBox[List[RowBox[List["-", "x"]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[RowBox[List["LaguerreL", "[", RowBox[List["k", ",", RowBox[List["-", RowBox[List["Log", "[", "x", "]"]]]]]], "]"]], RowBox[List["k", "+", "1"]]]]]]]]], "/;", RowBox[List["0", "<", "x", "<", "1"]]]]]]

 MathML Form

 li ( x ) - x k = 0 L k ( - log ( x ) ) k + 1 /; 0 < x < 1 Condition LogIntegral x -1 x k 0 LaguerreL k -1 x k 1 -1 0 x 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LogIntegral", "[", "x_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", "x"]], " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[RowBox[List["LaguerreL", "[", RowBox[List["k", ",", RowBox[List["-", RowBox[List["Log", "[", "x", "]"]]]]]], "]"]], RowBox[List["k", "+", "1"]]]]]]], "/;", RowBox[List["0", "<", "x", "<", "1"]]]]]]]]

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

 2001-10-29