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   http://functions.wolfram.com/07.21.03.0547.01
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    Hypergeometric1F1Regularized[11/2, -4, z] == 
 (1/7560) (E^(z/2) z 
   (z (-22680 + z (42525 + 8 z (-6615 + 
          z (178605 + 2 z (99225 + z (35457 + 4 z (1335 + z (87 + 2 z)))))))) 
     BesselI[0, z/2] + 
    (90720 + z (-170100 + z (214515 + 8 z (-33075 + 
            z (59535 + 2 z (70797 + z (30615 + 4 z (1251 + z (85 + 
                      2 z))))))))) BesselI[1, z/2])) 
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   Cell[BoxData[RowBox[List[RowBox[List["Hypergeometric1F1Regularized", "[", RowBox[List[FractionBox["11", "2"], ",", RowBox[List["-", "4"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "7560"], RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["z", "/", "2"]]], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "22680"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["42525", "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "6615"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["178605", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["99225", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["35457", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["1335", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["87", "+", RowBox[List["2", " ", "z"]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]], " ", RowBox[List["BesselI", "[", RowBox[List["0", ",", FractionBox["z", "2"]]], "]"]]]], "+", RowBox[List[RowBox[List["(", RowBox[List["90720", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "170100"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["214515", "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "33075"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["59535", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["70797", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["30615", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["1251", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["85", "+", RowBox[List["2", " ", "z"]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]], " ", RowBox[List["BesselI", "[", RowBox[List["1", ",", FractionBox["z", "2"]]], "]"]]]]]], ")"]]]], ")"]]]]]]]] 
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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>  <semantics>  <mrow>  <mrow>  <msub>  <mo>   </mo>  <mn> 1 </mn>  </msub>  <msub>  <mover>  <mi> F </mi>  <mo> ~ </mo>  </mover>  <mn> 1 </mn>  </msub>  </mrow>  <mo> ⁡ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mfrac>  <mn> 11 </mn>  <mn> 2 </mn>  </mfrac>  <mo> ; </mo>  <mrow>  <mo> - </mo>  <mn> 4 </mn>  </mrow>  <mo> ; </mo>  <mi> z </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "1"], SubscriptBox[OverscriptBox["F", "~"], "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox[FractionBox["11", "2"], Hypergeometric1F1Regularized, Rule[Editable, True], Rule[Selectable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1Regularized, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[RowBox[List["-", "4"]], Hypergeometric1F1Regularized, Rule[Editable, True], Rule[Selectable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1Regularized, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox["z", Hypergeometric1F1Regularized, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQRegularized[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], Hypergeometric1F1Regularized] </annotation>  </semantics>  <mo>  </mo>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 7560 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <msup>  <mi> ⅇ </mi>  <mrow>  <mi> z </mi>  <mo> / </mo>  <mn> 2 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <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> 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>  <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>  <mi> z </mi>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 2 </mn>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  <mo> + </mo>  <mn> 87 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mn> 1335 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mn> 35457 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mn> 99225 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mn> 178605 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> - 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</mo>  <mn> 33075 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mn> 214515 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> - </mo>  <mn> 170100 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> + </mo>  <mn> 90720 </mn>  </mrow>  <mo> ) </mo>  </mrow>  <mo> ⁢ </mo>  <mrow>  <msub>  <mi> I </mi>  <mn> 1 </mn>  </msub>  <mo> ( </mo>  <mfrac>  <mi> z </mi>  <mn> 2 </mn>  </mfrac>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <eq />  <apply>  <ci> Hypergeometric1F1Regularized </ci>  <cn type='rational'> 11 <sep /> 2 </cn>  <cn type='integer'> -4 </cn>  <ci> z </ci>  </apply>  <apply>  <times />  <cn type='rational'> 1 <sep /> 7560 </cn>  <apply>  <times />  <apply>  <power />  <exponentiale />  <apply>  <times />  <ci> z </ci>  <apply>  <power />  <cn type='integer'> 2 </cn>  <cn type='integer'> -1 </cn>  </apply>  </apply>  </apply>  <ci> z </ci>  <apply>  <plus />  <apply>  <times />  <ci> z </ci>  <apply>  <plus />  <apply>  <times />  <ci> z </ci>  <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 />  <apply>  <times />  <ci> z </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 4 </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'> 87 </cn>  </apply>  </apply>  <cn type='integer'> 1335 </cn>  </apply>  </apply>  <cn type='integer'> 35457 </cn>  </apply>  </apply>  <cn type='integer'> 99225 </cn>  </apply>  </apply>  <cn type='integer'> 178605 </cn>  </apply>  </apply>  <cn type='integer'> -6615 </cn>  </apply>  </apply>  <cn type='integer'> 42525 </cn>  </apply>  </apply>  <cn type='integer'> -22680 </cn>  </apply>  <apply>  <ci> BesselI </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 />  <apply>  <plus />  <apply>  <times />  <ci> z </ci>  <apply>  <plus />  <apply>  <times />  <ci> z </ci>  <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 />  <apply>  <times />  <ci> z </ci>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 4 </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'> 85 </cn>  </apply>  </apply>  <cn type='integer'> 1251 </cn>  </apply>  </apply>  <cn type='integer'> 30615 </cn>  </apply>  </apply>  <cn type='integer'> 70797 </cn>  </apply>  </apply>  <cn type='integer'> 59535 </cn>  </apply>  </apply>  <cn type='integer'> -33075 </cn>  </apply>  </apply>  <cn type='integer'> 214515 </cn>  </apply>  </apply>  <cn type='integer'> -170100 </cn>  </apply>  </apply>  <cn type='integer'> 90720 </cn>  </apply>  <apply>  <ci> BesselI </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>  </apply>  </annotation-xml>  </semantics>  </math> 
   
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  | Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Hypergeometric1F1Regularized", "[", RowBox[List[FractionBox["11", "2"], ",", RowBox[List["-", "4"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["z", "/", "2"]]], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "22680"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["42525", "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "6615"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["178605", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["99225", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["35457", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["1335", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["87", "+", RowBox[List["2", " ", "z"]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]], " ", RowBox[List["BesselI", "[", RowBox[List["0", ",", FractionBox["z", "2"]]], "]"]]]], "+", RowBox[List[RowBox[List["(", RowBox[List["90720", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "170100"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["214515", "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "33075"]], "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["59535", "+", RowBox[List["2", " ", "z", " ", RowBox[List["(", RowBox[List["70797", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["30615", "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["1251", "+", RowBox[List["z", " ", RowBox[List["(", RowBox[List["85", "+", RowBox[List["2", " ", "z"]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]]]]]], ")"]], " ", RowBox[List["BesselI", "[", RowBox[List["1", ",", FractionBox["z", "2"]]], "]"]]]]]], ")"]]]], "7560"]]]]]  |  
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   Date Added to functions.wolfram.com (modification date)
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| HypergeometricPFQRegularized[{},{b},z] |  | HypergeometricPFQRegularized[{a1,a2},{b1},z] |  | HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] |  |   |  
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