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ExpIntegralE






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > ExpIntegralE[nu,z] > Continued fraction representations





http://functions.wolfram.com/06.34.10.0003.01









  


  










Input Form





ExpIntegralE[\[Nu], z] == 1/(E^z (\[Nu] + z - \[Nu]/(2 + \[Nu] + z - (2 (\[Nu] + 1))/ (4 + \[Nu] + z - (3 (\[Nu] + 2))/(6 + \[Nu] + z - (4 (\[Nu] + 3))/(8 + \[Nu] + z - (5 (\[Nu] + 4))/(10 + \[Nu] + z + \[Ellipsis]))))))) /; !IntervalMemberQ[Interval[{-Infinity, 0}], z]










Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ExpIntegralE", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[SuperscriptBox["\[ExponentialE]", RowBox[List["-", "z"]]], RowBox[List["\[Nu]", "+", "z", "-", FractionBox["\[Nu]", RowBox[List["2", "+", "\[Nu]", "+", "z", "-", FractionBox[RowBox[List["2", " ", RowBox[List["(", RowBox[List["\[Nu]", "+", "1"]], ")"]]]], RowBox[List["4", "+", "\[Nu]", "+", "z", "-", FractionBox[RowBox[List["3", " ", RowBox[List["(", RowBox[List["\[Nu]", "+", "2"]], ")"]]]], RowBox[List["6", "+", "\[Nu]", "+", "z", "-", FractionBox[RowBox[List["4", " ", RowBox[List["(", RowBox[List["\[Nu]", "+", "3"]], ")"]]]], RowBox[List["8", "+", "\[Nu]", "+", "z", "-", FractionBox[RowBox[List["5", " ", RowBox[List["(", RowBox[List["\[Nu]", "+", "4"]], ")"]]]], RowBox[List["10", "+", "\[Nu]", "+", "z", "+", "\[Ellipsis]"]]]]]]]]]]]]]]]]]], "/;", RowBox[List["!", RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "\[Infinity]"]], ",", "0"]], "}"]], "]"]], ",", "z"]], "]"]]]]]]]]]]










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





2001-10-29