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http://functions.wolfram.com/07.33.03.0839.01
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HypergeometricU[6, -(7/2), z] == (1/9820936125)
(8 (12600 + z (-21600 +
z (30240 + z (-53760 + z (241920 + z (274845 + 4 z (22745 +
2 z (1569 + 2 z (47 + z))))))))) -
4 E^z Sqrt[Pi] z^(9/2) (692835 +
2 z (314925 + 4 z (24225 + 2 z (1615 + z (95 + 2 z))))) Erfc[Sqrt[z]])
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Cell[BoxData[RowBox[List[RowBox[List["HypergeometricU", "[", RowBox[List["6", ",", RowBox[List["-", FractionBox["7", "2"]]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "9820936125"], RowBox[List["(", RowBox[List[RowBox[List["8", " ", RowBox[List["(", RowBox[List["12600", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "21600"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["30240", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "53760"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["241920", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["274845", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["22745", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["1569", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["47", "+", "z"]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]], "-", RowBox[List["4", " ", SuperscriptBox["\[ExponentialE]", "z"], " ", SqrtBox["\[Pi]"], " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]], " ", RowBox[List["(", RowBox[List["692835", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["314925", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["24225", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["1615", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["95", "+", RowBox[List["2", " ", "z"]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]], " ", RowBox[List["Erfc", "[", SqrtBox["z"], "]"]]]]]], ")"]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mi> U </mi> <annotation encoding='Mathematica'> TagBox["U", HypergeometricU] </annotation> </semantics> <mo> ( </mo> <mrow> <mn> 6 </mn> <mo> , </mo> <mrow> <mo> - </mo> <mfrac> <mn> 7 </mn> <mn> 2 </mn> </mfrac> </mrow> <mo> , </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mo>  </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 9820936125 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 8 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 4 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mi> z </mi> <mo> + </mo> <mn> 47 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 1569 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 22745 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 274845 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 241920 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mn> 53760 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 30240 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mn> 21600 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 12600 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 4 </mn> <mo> ⁢ </mo> <msup> <mi> ⅇ </mi> <mi> z </mi> </msup> <mo> ⁢ </mo> <msqrt> <mi> π </mi> </msqrt> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 9 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 4 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> + </mo> <mn> 95 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 1615 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 24225 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 314925 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 692835 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> erfc </mi> <mo> ⁡ </mo> <mo> ( </mo> <msqrt> <mi> z </mi> </msqrt> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> HypergeometricU </ci> <cn type='integer'> 6 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 7 <sep /> 2 </cn> </apply> <ci> z </ci> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 9820936125 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 8 </cn> <apply> <plus /> <apply> <times /> <ci> z </ci> <apply> <plus /> <apply> <times /> <ci> z </ci> <apply> <plus /> <apply> <times /> <ci> z </ci> <apply> <plus /> <apply> <times /> <ci> z </ci> <apply> <plus /> <apply> <times /> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 4 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z </ci> <apply> <plus /> <ci> z </ci> <cn type='integer'> 47 </cn> </apply> </apply> <cn type='integer'> 1569 </cn> </apply> </apply> <cn type='integer'> 22745 </cn> </apply> </apply> <cn type='integer'> 274845 </cn> </apply> </apply> <cn type='integer'> 241920 </cn> </apply> </apply> <cn type='integer'> -53760 </cn> </apply> </apply> <cn type='integer'> 30240 </cn> </apply> </apply> <cn type='integer'> -21600 </cn> </apply> </apply> <cn type='integer'> 12600 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <power /> <exponentiale /> <ci> z </ci> </apply> <apply> <power /> <pi /> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 9 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 4 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z </ci> </apply> <cn type='integer'> 95 </cn> </apply> </apply> <cn type='integer'> 1615 </cn> </apply> </apply> <cn type='integer'> 24225 </cn> </apply> </apply> <cn type='integer'> 314925 </cn> </apply> </apply> <cn type='integer'> 692835 </cn> </apply> <apply> <ci> Erfc </ci> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricU", "[", RowBox[List["6", ",", RowBox[List["-", FractionBox["7", "2"]]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["8", " ", RowBox[List["(", RowBox[List["12600", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "21600"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["30240", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "53760"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["241920", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["274845", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["22745", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["1569", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["47", "+", "z"]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]], "-", RowBox[List["4", " ", SuperscriptBox["\[ExponentialE]", "z"], " ", SqrtBox["\[Pi]"], " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]], " ", RowBox[List["(", RowBox[List["692835", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["314925", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["24225", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["1615", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["95", "+", RowBox[List["2", " ", "z"]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]], " ", RowBox[List["Erfc", "[", SqrtBox["z"], "]"]]]]]], "9820936125"]]]]] |
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Date Added to functions.wolfram.com (modification date)
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