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variants of this functions
Hypergeometric1F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Specific values > For fixed z > For fixed z and a=11/2





http://functions.wolfram.com/07.20.03.0487.01









  


  










Input Form





Hypergeometric1F1[11/2, -(11/2), z] == E^z (1 - 2 z + (20 z^2)/9 - (40 z^3)/21 + (32 z^4)/21 - (64 z^5)/45 + (128 z^6)/45 + (256 z^7)/63 + (256 z^8)/189 + (512 z^9)/2835 + (1024 z^10)/99225 + (2048 z^11)/9823275)










Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Hypergeometric1F1", "[", RowBox[List[FractionBox["11", "2"], ",", RowBox[List["-", FractionBox["11", "2"]]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[ExponentialE]", "z"], " ", RowBox[List["(", RowBox[List["1", "-", RowBox[List["2", " ", "z"]], "+", FractionBox[RowBox[List["20", " ", SuperscriptBox["z", "2"]]], "9"], "-", FractionBox[RowBox[List["40", " ", SuperscriptBox["z", "3"]]], "21"], "+", FractionBox[RowBox[List["32", " ", SuperscriptBox["z", "4"]]], "21"], "-", FractionBox[RowBox[List["64", " ", SuperscriptBox["z", "5"]]], "45"], "+", FractionBox[RowBox[List["128", " ", SuperscriptBox["z", "6"]]], "45"], "+", FractionBox[RowBox[List["256", " ", SuperscriptBox["z", "7"]]], "63"], "+", FractionBox[RowBox[List["256", " ", SuperscriptBox["z", "8"]]], "189"], "+", FractionBox[RowBox[List["512", " ", SuperscriptBox["z", "9"]]], "2835"], "+", FractionBox[RowBox[List["1024", " ", SuperscriptBox["z", "10"]]], "99225"], "+", FractionBox[RowBox[List["2048", " ", SuperscriptBox["z", "11"]]], "9823275"]]], ")"]]]]]]]]










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





2007-05-02





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