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 ExpIntegralE

 http://functions.wolfram.com/06.34.06.0032.01

 Input Form

 ExpIntegralE[2, z] \[Proportional] 1 - z^2/2 + z (-1 + EulerGamma + Log[z]) + O[z^3]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ExpIntegralE", "[", RowBox[List["2", ",", "z"]], "]"]], "\[Proportional]", RowBox[List["1", "-", FractionBox[SuperscriptBox["z", "2"], "2"], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "EulerGamma", "+", RowBox[List["Log", "[", "z", "]"]]]], ")"]]]], "+", RowBox[List["O", "[", SuperscriptBox["z", "3"], "]"]]]]]]]]

 MathML Form

 E TagBox["E", ExpIntegralE] 2 ( z ) 1 - z 2 2 + ( log ( z ) + TagBox["\[DoubledGamma]", Function[EulerGamma]] - 1 ) z + O ( z 3 ) Proportional ExpIntegralE 2 z 1 -1 z 2 2 -1 z -1 z O z 3 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ExpIntegralE", "[", RowBox[List["2", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["1", "-", FractionBox[SuperscriptBox["z", "2"], "2"], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "+", "EulerGamma", "+", RowBox[List["Log", "[", "z", "]"]]]], ")"]]]], "+", SuperscriptBox[RowBox[List["O", "[", "z", "]"]], "3"]]]]]]]

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

 2007-05-02