| |  
 |  | 
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 
 |  
 |  
 |  
 |  |   
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 |  
 |  
 |  
 |  
 | | http://functions.wolfram.com/07.33.03.0369.01 | 
 |  
 |  
 |  
 |  
 |  
 |  |   
 |  
 |  |  |   
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 |  
 |  
 |  
 |  
 | | HypergeometricU[1/2, 11/2, z] == (105 + 8 z (15 + z (9 + 2 z (2 + z))))/
  (16 z^(9/2)) | 
 |  
 |  
 |  
 |  
 |  
 |  |   
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 |  
 |  
 |  
 |  
 | | Cell[BoxData[RowBox[List[RowBox[List["HypergeometricU", "[", RowBox[List[FractionBox["1", "2"], ",", FractionBox["11", "2"], ",", "z"]], "]"]], "\[Equal]", FractionBox[RowBox[List["105", "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List["15", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["9", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["2", "+", "z"]], ")"]]]]]], ")"]]]]]], ")"]]]]]], RowBox[List["16", " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]]]]]]]]] | 
 |  
 |  
 |  
 |  
 |  
 |  |   
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  
 |  
 | | 
   <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>  <mfrac>  <mn> 1 </mn>  <mn> 2 </mn>  </mfrac>  <mo> , </mo>  <mfrac>  <mn> 11 </mn>  <mn> 2 </mn>  </mfrac>  <mo> , </mo>  <mi> z </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo>  </mo>  <mfrac>  <mrow>  <mrow>  <mn> 8 </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>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mi> z </mi>  <mo> + </mo>  <mn> 2 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mn> 9 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mn> 15 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mn> 105 </mn>  </mrow>  <mrow>  <mn> 16 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mrow>  <mn> 9 </mn>  <mo> / </mo>  <mn> 2 </mn>  </mrow>  </msup>  </mrow>  </mfrac>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <eq />  <apply>  <ci> HypergeometricU </ci>  <cn type='rational'> 1 <sep /> 2 </cn>  <cn type='rational'> 11 <sep /> 2 </cn>  <ci> z </ci>  </apply>  <apply>  <times />  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 8 </cn>  <ci> z </ci>  <apply>  <plus />  <apply>  <times />  <ci> z </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 2 </cn>  <ci> z </ci>  <apply>  <plus />  <ci> z </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  <cn type='integer'> 9 </cn>  </apply>  </apply>  <cn type='integer'> 15 </cn>  </apply>  </apply>  <cn type='integer'> 105 </cn>  </apply>  <apply>  <power />  <apply>  <times />  <cn type='integer'> 16 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='rational'> 9 <sep /> 2 </cn>  </apply>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </annotation-xml>  </semantics>  </math> 
   | 
 |  
 |  
 |  
 |  
 |  
 |  |  
 |  |  
 |  
 |  
 |  |  
 |  |  
 |  |  
 |  
 |  
 |  |  
 | | Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricU", "[", RowBox[List[FractionBox["1", "2"], ",", FractionBox["11", "2"], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["105", "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List["15", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["9", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["2", "+", "z"]], ")"]]]]]], ")"]]]]]], ")"]]]]]], RowBox[List["16", " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]]]]]]]]] | 
 |  
 |   
 |  
 |  
 | |   
 |  
 |  
 |  
 |  
 |  
 |  
 | | Date Added to functions.wolfram.com (modification date) | 
 |  
 |  
 |  
 |  
 |  
 |  
 |  
 |  |  
 |   
 |  
 |  
 |  |  | 
 
 
 | 
 |