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 | | http://functions.wolfram.com/07.33.03.0442.01 | 
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 | | HypergeometricU[3/2, 1, z] == 
 (2 E^(z/2) ((1 + z) BesselK[0, z/2] - z BesselK[1, z/2]))/Sqrt[Pi] | 
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 | | Cell[BoxData[RowBox[List[RowBox[List["HypergeometricU", "[", RowBox[List[FractionBox["3", "2"], ",", "1", ",", "z"]], "]"]], "\[Equal]", FractionBox[RowBox[List["2", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["z", "/", "2"]]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["1", "+", "z"]], ")"]], " ", RowBox[List["BesselK", "[", RowBox[List["0", ",", FractionBox["z", "2"]]], "]"]]]], "-", RowBox[List["z", " ", RowBox[List["BesselK", "[", RowBox[List["1", ",", FractionBox["z", "2"]]], "]"]]]]]], ")"]]]], SqrtBox["\[Pi]"]]]]]] | 
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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>  <mfrac>  <mn> 3 </mn>  <mn> 2 </mn>  </mfrac>  <mo> , </mo>  <mn> 1 </mn>  <mo> , </mo>  <mi> z </mi>  </mrow>  <mo> ) </mo>  </mrow>  <mo>  </mo>  <mfrac>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <msup>  <mi> ⅇ </mi>  <mrow>  <mi> z </mi>  <mo> / </mo>  <mn> 2 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> ( </mo>  <mrow>  <mi> z </mi>  <mo> + </mo>  <mn> 1 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <msub>  <mi> K </mi>  <mn> 0 </mn>  </msub>  <mo> ( </mo>  <mfrac>  <mi> z </mi>  <mn> 2 </mn>  </mfrac>  <mo> ) </mo>  </mrow>  </mrow>  <mo> - </mo>  <mrow>  <mi> z </mi>  <mo> ⁢ </mo>  <mrow>  <msub>  <mi> K </mi>  <mn> 1 </mn>  </msub>  <mo> ( </mo>  <mfrac>  <mi> z </mi>  <mn> 2 </mn>  </mfrac>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <msqrt>  <mi> π </mi>  </msqrt>  </mfrac>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <eq />  <apply>  <ci> HypergeometricU </ci>  <cn type='rational'> 3 <sep /> 2 </cn>  <cn type='integer'> 1 </cn>  <ci> z </ci>  </apply>  <apply>  <times />  <cn type='integer'> 2 </cn>  <apply>  <power />  <exponentiale />  <apply>  <times />  <ci> z </ci>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <apply>  <plus />  <apply>  <times />  <apply>  <plus />  <ci> z </ci>  <cn type='integer'> 1 </cn>  </apply>  <apply>  <ci> BesselK </ci>  <cn type='integer'> 0 </cn>  <apply>  <times />  <ci> z </ci>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <ci> z </ci>  <apply>  <ci> BesselK </ci>  <cn type='integer'> 1 </cn>  <apply>  <times />  <ci> z </ci>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </apply>  </apply>  </apply>  <apply>  <power />  <apply>  <power />  <pi />  <cn type='rational'> 1 <sep /> 2 </cn>  </apply>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  </annotation-xml>  </semantics>  </math> 
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 | | Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricU", "[", RowBox[List[FractionBox["3", "2"], ",", "1", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["z", "/", "2"]]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["1", "+", "z"]], ")"]], " ", RowBox[List["BesselK", "[", RowBox[List["0", ",", FractionBox["z", "2"]]], "]"]]]], "-", RowBox[List["z", " ", RowBox[List["BesselK", "[", RowBox[List["1", ",", FractionBox["z", "2"]]], "]"]]]]]], ")"]]]], SqrtBox["\[Pi]"]]]]]] | 
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 | | Date Added to functions.wolfram.com (modification date) | 
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