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 | | http://functions.wolfram.com/07.25.03.ajn0.01 | 
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 | | HypergeometricPFQ[{5/2, 11/2}, {-(11/2), -(3/2)}, z] == 
 (1/88409475) (E^z (88409475 + 58939650 z + 641787300 z^2 - 5474838600 z^3 + 
    20065676400 z^4 - 66592199520 z^5 + 426097869120 z^6 + 
    1892068295040 z^7 + 2021841803520 z^8 + 953708152320 z^9 + 
    237391064064 z^10 + 33629546496 z^11 + 2778058752 z^12 + 131260416 z^13 + 
    3260416 z^14 + 32768 z^15)) | 
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 | | Cell[BoxData[RowBox[List[RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[FractionBox["5", "2"], ",", FractionBox["11", "2"]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["-", FractionBox["11", "2"]]], ",", RowBox[List["-", FractionBox["3", "2"]]]]], "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "88409475"], RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", "z"], " ", RowBox[List["(", RowBox[List["88409475", "+", RowBox[List["58939650", " ", "z"]], "+", RowBox[List["641787300", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["5474838600", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["20065676400", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["66592199520", " ", SuperscriptBox["z", "5"]]], "+", RowBox[List["426097869120", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["1892068295040", " ", SuperscriptBox["z", "7"]]], "+", RowBox[List["2021841803520", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["953708152320", " ", SuperscriptBox["z", "9"]]], "+", RowBox[List["237391064064", " ", SuperscriptBox["z", "10"]]], "+", RowBox[List["33629546496", " ", SuperscriptBox["z", "11"]]], "+", RowBox[List["2778058752", " ", SuperscriptBox["z", "12"]]], "+", RowBox[List["131260416", " ", SuperscriptBox["z", "13"]]], "+", RowBox[List["3260416", " ", SuperscriptBox["z", "14"]]], "+", RowBox[List["32768", " ", SuperscriptBox["z", "15"]]]]], ")"]]]], ")"]]]]]]]] | 
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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> 2 </mn>  </msub>  <msub>  <mi> F </mi>  <mn> 2 </mn>  </msub>  </mrow>  <mo> ⁡ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mfrac>  <mn> 5 </mn>  <mn> 2 </mn>  </mfrac>  <mo> , </mo>  <mfrac>  <mn> 11 </mn>  <mn> 2 </mn>  </mfrac>  </mrow>  <mo> ; </mo>  <mrow>  <mrow>  <mo> - </mo>  <mfrac>  <mn> 11 </mn>  <mn> 2 </mn>  </mfrac>  </mrow>  <mo> , </mo>  <mrow>  <mo> - </mo>  <mfrac>  <mn> 3 </mn>  <mn> 2 </mn>  </mfrac>  </mrow>  </mrow>  <mo> ; </mo>  <mi> z </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["5", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["11", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["11", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["3", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] </annotation>  </semantics>  <mo>  </mo>  <mrow>  <mfrac>  <mn> 1 </mn>  <mn> 88409475 </mn>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <msup>  <mi> ⅇ </mi>  <mi> z </mi>  </msup>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mn> 32768 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 15 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 3260416 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 14 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 131260416 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 13 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2778058752 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 12 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 33629546496 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 11 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 237391064064 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 10 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 953708152320 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 9 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 2021841803520 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 8 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 1892068295040 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 7 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 426097869120 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 6 </mn>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 66592199520 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 5 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 20065676400 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 4 </mn>  </msup>  </mrow>  <mo> - </mo>  <mrow>  <mn> 5474838600 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 3 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 641787300 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 2 </mn>  </msup>  </mrow>  <mo> + </mo>  <mrow>  <mn> 58939650 </mn>  <mo> ⁢ </mo>  <mi> z </mi>  </mrow>  <mo> + </mo>  <mn> 88409475 </mn>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  </mrow>  <annotation-xml encoding='MathML-Content'>  <apply>  <eq />  <apply>  <ci> HypergeometricPFQ </ci>  <list>  <cn type='rational'> 5 <sep /> 2 </cn>  <cn type='rational'> 11 <sep /> 2 </cn>  </list>  <list>  <apply>  <times />  <cn type='integer'> -1 </cn>  <cn type='rational'> 11 <sep /> 2 </cn>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <cn type='rational'> 3 <sep /> 2 </cn>  </apply>  </list>  <ci> z </ci>  </apply>  <apply>  <times />  <cn type='rational'> 1 <sep /> 88409475 </cn>  <apply>  <times />  <apply>  <power />  <exponentiale />  <ci> z </ci>  </apply>  <apply>  <plus />  <apply>  <times />  <cn type='integer'> 32768 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 15 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 3260416 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 14 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 131260416 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 13 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2778058752 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 12 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 33629546496 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 11 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 237391064064 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 10 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 953708152320 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 9 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 2021841803520 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 8 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 1892068295040 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 7 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 426097869120 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 6 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 66592199520 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 5 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 20065676400 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 4 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> -1 </cn>  <apply>  <times />  <cn type='integer'> 5474838600 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 3 </cn>  </apply>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 641787300 </cn>  <apply>  <power />  <ci> z </ci>  <cn type='integer'> 2 </cn>  </apply>  </apply>  <apply>  <times />  <cn type='integer'> 58939650 </cn>  <ci> z </ci>  </apply>  <cn type='integer'> 88409475 </cn>  </apply>  </apply>  </apply>  </apply>  </annotation-xml>  </semantics>  </math> 
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 | | Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[FractionBox["5", "2"], ",", FractionBox["11", "2"]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["-", FractionBox["11", "2"]]], ",", RowBox[List["-", FractionBox["3", "2"]]]]], "}"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", "z"], " ", RowBox[List["(", RowBox[List["88409475", "+", RowBox[List["58939650", " ", "z"]], "+", RowBox[List["641787300", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["5474838600", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["20065676400", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["66592199520", " ", SuperscriptBox["z", "5"]]], "+", RowBox[List["426097869120", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["1892068295040", " ", SuperscriptBox["z", "7"]]], "+", RowBox[List["2021841803520", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["953708152320", " ", SuperscriptBox["z", "9"]]], "+", RowBox[List["237391064064", " ", SuperscriptBox["z", "10"]]], "+", RowBox[List["33629546496", " ", SuperscriptBox["z", "11"]]], "+", RowBox[List["2778058752", " ", SuperscriptBox["z", "12"]]], "+", RowBox[List["131260416", " ", SuperscriptBox["z", "13"]]], "+", RowBox[List["3260416", " ", SuperscriptBox["z", "14"]]], "+", RowBox[List["32768", " ", SuperscriptBox["z", "15"]]]]], ")"]]]], "88409475"]]]]] | 
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 | | Date Added to functions.wolfram.com (modification date) | 
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 | | HypergeometricPFQ[{},{},z] |  | HypergeometricPFQ[{},{b},z] |  | HypergeometricPFQ[{a},{},z] |  | HypergeometricPFQ[{a},{b},z] |  | HypergeometricPFQ[{a1},{b1,b2},z] |  | HypergeometricPFQ[{a1,a2},{b1},z] |  | HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] |  | HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] |  | HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] |  | HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] |  | HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] |  | HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] |  |  | 
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