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variants of this functions
Hypergeometric1F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1Regularized[a,b,z] > Specific values > For fixed z > For fixed z and a=3





http://functions.wolfram.com/07.21.03.0409.01









  


  








Input Form





Hypergeometric1F1Regularized[3, -(11/2), z] == (1/(64 Sqrt[Pi])) (10395 + 2 z (-2835 + 4 z (315 + 2 z (-75 + z (45 + z (-42 + z (112 + z (33 + 2 z))))))) + 8 E^z Sqrt[Pi] z^(13/2) (255 + 4 z (17 + z)) Erf[Sqrt[z]])








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Hypergeometric1F1Regularized", "[", RowBox[List["3", ",", RowBox[List["-", FractionBox["11", "2"]]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["10395", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "2835"]], "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["315", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "75"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["45", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "42"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["112", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["33", "+", RowBox[List["2", " ", "z"]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]], "+", RowBox[List["8", " ", SuperscriptBox["\[ExponentialE]", "z"], " ", SqrtBox["\[Pi]"], " ", SuperscriptBox["z", RowBox[List["13", "/", "2"]]], " ", RowBox[List["(", RowBox[List["255", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["17", "+", "z"]], ")"]]]]]], ")"]], " ", RowBox[List["Erf", "[", SqrtBox["z"], "]"]]]]]], RowBox[List["64", " ", SqrtBox["\[Pi]"]]]]]]]]


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





2007-05-02