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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=4





http://functions.wolfram.com/07.20.03.0418.01









  


  








Input Form





Hypergeometric1F1[4, -(9/2), z] == (1/2835) (2835 - 4 z (630 + z (-450 + z (360 + z (-420 + z (1344 + z (717 + 4 z (25 + z))))))) - 2 E^z Sqrt[Pi] z^(11/2) (3315 + 2 z (765 + 2 z (51 + 2 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["Hypergeometric1F1", "[", RowBox[List["4", ",", RowBox[List["-", FractionBox["9", "2"]]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2835", "-", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["630", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "450"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["360", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "420"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["1344", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["717", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["25", "+", "z"]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]], "-", RowBox[List["2", " ", SuperscriptBox["\[ExponentialE]", "z"], " ", SqrtBox["\[Pi]"], " ", SuperscriptBox["z", RowBox[List["11", "/", "2"]]], " ", RowBox[List["(", RowBox[List["3315", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["765", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["51", "+", RowBox[List["2", " ", "z"]]]], ")"]]]]]], ")"]]]]]], ")"]], " ", RowBox[List["Erf", "[", SqrtBox["z"], "]"]]]]]], "2835"]]]]]


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





2007-05-02