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http://functions.wolfram.com/07.33.03.0832.01
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HypergeometricU[6, -6, z] == (1/57480192000)
(86400 +
z (-86400 +
z (60480 + z (-40320 + z (30240 + z (-30240 +
z (55440 + z (48504 + z (11994 + z (1262 + z (59 + z)))))))))) +
E^z z^7 (95040 + z (59400 + z (13200 + z (1320 + z (60 + z)))))
(CoshIntegral[z] - SinhIntegral[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> <mn> 6 </mn> </mrow> <mo> , </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mo>  </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 57480192000 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> ⅇ </mi> <mi> z </mi> </msup> <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> <mi> z </mi> <mo> + </mo> <mn> 60 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 1320 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 13200 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 59400 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 95040 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> Chi </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> - </mo> <mrow> <mi> Shi </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 7 </mn> </msup> </mrow> <mo> + </mo> <mrow> <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> <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> <mi> z </mi> <mo> + </mo> <mn> 59 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 1262 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 11994 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 48504 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 55440 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mn> 30240 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 30240 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mn> 40320 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mn> 60480 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mn> 86400 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> + </mo> <mn> 86400 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> HypergeometricU </ci> <cn type='integer'> 6 </cn> <cn type='integer'> -6 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 57480192000 </cn> <apply> <plus /> <apply> <times /> <apply> <power /> <exponentiale /> <ci> z </ci> </apply> <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 /> <ci> z </ci> <cn type='integer'> 60 </cn> </apply> </apply> <cn type='integer'> 1320 </cn> </apply> </apply> <cn type='integer'> 13200 </cn> </apply> </apply> <cn type='integer'> 59400 </cn> </apply> </apply> <cn type='integer'> 95040 </cn> </apply> <apply> <plus /> <apply> <ci> CoshIntegral </ci> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> SinhIntegral </ci> <ci> z </ci> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> </apply> <apply> <times /> <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 /> <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 /> <ci> z </ci> <cn type='integer'> 59 </cn> </apply> </apply> <cn type='integer'> 1262 </cn> </apply> </apply> <cn type='integer'> 11994 </cn> </apply> </apply> <cn type='integer'> 48504 </cn> </apply> </apply> <cn type='integer'> 55440 </cn> </apply> </apply> <cn type='integer'> -30240 </cn> </apply> </apply> <cn type='integer'> 30240 </cn> </apply> </apply> <cn type='integer'> -40320 </cn> </apply> </apply> <cn type='integer'> 60480 </cn> </apply> </apply> <cn type='integer'> -86400 </cn> </apply> <ci> z </ci> </apply> <cn type='integer'> 86400 </cn> </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["-", "6"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["86400", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "86400"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["60480", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "40320"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["30240", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "30240"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["55440", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["48504", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["11994", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["1262", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["59", "+", "z"]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", "z"], " ", SuperscriptBox["z", "7"], " ", RowBox[List["(", RowBox[List["95040", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["59400", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["13200", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["1320", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["60", "+", "z"]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["CoshIntegral", "[", "z", "]"]], "-", RowBox[List["SinhIntegral", "[", "z", "]"]]]], ")"]]]]]], "57480192000"]]]]] |
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Date Added to functions.wolfram.com (modification date)
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