Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.an0u)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=9/2, a₂>=9/2

For fixed z and a₁=9/2, a₂=6, b₁>=-11/2

For fixed z and a₁=9/2, a₂=6, b₁=-11/2

http://functions.wolfram.com/07.25.03.an0u.01

Input Form

HypergeometricPFQ[{9/2, 6}, {-(11/2), -(7/2)}, z] == (1/1719073125) (1719073125 + 2411167500 z + 4125775500 z^2 + 13621608000 z^3 + 183891708000 z^4 - 4168212048000 z^5 + 96795146448000 z^6 + 850369668019200 z^7 + 1821333435667200 z^8 + 1715638887244800 z^9 + 872470859904000 z^10 + 265777666560000 z^11 + 51465497395200 z^12 + 6553298304000 z^13 + 557489694720 z^14 + 31679235200 z^15 + 1180300800 z^16 + 27524096 z^17 + 362496 z^18 + 2048 z^19) + (1/1719073125) (64 E^z Sqrt[Pi] (4245940944000 z^(13/2) + 21701475936000 z^(15/2) + 37991458512000 z^(17/2) + 32220659520000 z^(19/2) + 15403281516000 z^(21/2) + 4512608452800 z^(23/2) + 851532885000 z^(25/2) + 106524364800 z^(27/2) + 8949561495 z^(29/2) + 504001050 z^(31/2) + 18654440 z^(33/2) + 432880 z^(35/2) + 5680 z^(37/2) + 32 z^(39/2)) Erf[Sqrt[z]])

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[FractionBox["9", "2"], ",", "6"]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["-", FractionBox["11", "2"]]], ",", RowBox[List["-", FractionBox["7", "2"]]]]], "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[RowBox[List[FractionBox["1", "1719073125"], RowBox[List["(", RowBox[List["1719073125", "+", RowBox[List["2411167500", " ", "z"]], "+", RowBox[List["4125775500", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["13621608000", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["183891708000", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["4168212048000", " ", SuperscriptBox["z", "5"]]], "+", RowBox[List["96795146448000", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["850369668019200", " ", SuperscriptBox["z", "7"]]], "+", RowBox[List["1821333435667200", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["1715638887244800", " ", SuperscriptBox["z", "9"]]], "+", RowBox[List["872470859904000", " ", SuperscriptBox["z", "10"]]], "+", RowBox[List["265777666560000", " ", SuperscriptBox["z", "11"]]], "+", RowBox[List["51465497395200", " ", SuperscriptBox["z", "12"]]], "+", RowBox[List["6553298304000", " ", SuperscriptBox["z", "13"]]], "+", RowBox[List["557489694720", " ", SuperscriptBox["z", "14"]]], "+", RowBox[List["31679235200", " ", SuperscriptBox["z", "15"]]], "+", RowBox[List["1180300800", " ", SuperscriptBox["z", "16"]]], "+", RowBox[List["27524096", " ", SuperscriptBox["z", "17"]]], "+", RowBox[List["362496", " ", SuperscriptBox["z", "18"]]], "+", RowBox[List["2048", " ", SuperscriptBox["z", "19"]]]]], ")"]]]], "+", RowBox[List[FractionBox["1", "1719073125"], RowBox[List["(", RowBox[List["64", " ", SuperscriptBox["\[ExponentialE]", "z"], " ", SqrtBox["\[Pi]"], " ", RowBox[List["(", RowBox[List[RowBox[List["4245940944000", " ", SuperscriptBox["z", RowBox[List["13", "/", "2"]]]]], "+", RowBox[List["21701475936000", " ", SuperscriptBox["z", RowBox[List["15", "/", "2"]]]]], "+", RowBox[List["37991458512000", " ", SuperscriptBox["z", RowBox[List["17", "/", "2"]]]]], "+", RowBox[List["32220659520000", " ", SuperscriptBox["z", RowBox[List["19", "/", "2"]]]]], "+", RowBox[List["15403281516000", " ", SuperscriptBox["z", RowBox[List["21", "/", "2"]]]]], "+", RowBox[List["4512608452800", " ", SuperscriptBox["z", RowBox[List["23", "/", "2"]]]]], "+", RowBox[List["851532885000", " ", SuperscriptBox["z", RowBox[List["25", "/", "2"]]]]], "+", RowBox[List["106524364800", " ", SuperscriptBox["z", RowBox[List["27", "/", "2"]]]]], "+", RowBox[List["8949561495", " ", SuperscriptBox["z", RowBox[List["29", "/", "2"]]]]], "+", RowBox[List["504001050", " ", SuperscriptBox["z", RowBox[List["31", "/", "2"]]]]], "+", RowBox[List["18654440", " ", SuperscriptBox["z", RowBox[List["33", "/", "2"]]]]], "+", RowBox[List["432880", " ", SuperscriptBox["z", RowBox[List["35", "/", "2"]]]]], "+", RowBox[List["5680", " ", SuperscriptBox["z", RowBox[List["37", "/", "2"]]]]], "+", RowBox[List["32", " ", SuperscriptBox["z", RowBox[List["39", "/", "2"]]]]]]], ")"]], " ", RowBox[List["Erf", "[", SqrtBox["z"], "]"]]]], ")"]]]]]]]]]]

MathML Form

<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> 9 </mn> <mn> 2 </mn> </mfrac> <mo> , </mo> <mn> 6 </mn> </mrow> <mo> ; </mo> <mrow> <mrow> <mo> - </mo> <mfrac> <mn> 11 </mn> <mn> 2 </mn> </mfrac> </mrow> <mo> , </mo> <mrow> <mo> - </mo> <mfrac> <mn> 7 </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["9", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["6", 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["7", "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> <mrow> <mfrac> <mn> 1 </mn> <mn> 1719073125 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2048 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 19 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 362496 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 18 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 27524096 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 17 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1180300800 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 16 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 31679235200 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 15 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 557489694720 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 14 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 6553298304000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 13 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 51465497395200 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 12 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 265777666560000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 11 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 872470859904000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1715638887244800 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 9 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1821333435667200 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 850369668019200 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 7 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 96795146448000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 4168212048000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 5 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 183891708000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 13621608000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 4125775500 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 2411167500 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> + </mo> <mn> 1719073125 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 1719073125 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mn> 64 </mn> <mo> ⁢ </mo> <msup> <mi> ⅇ </mi> <mi> z </mi> </msup> <mo> ⁢ </mo> <msqrt> <mi> π </mi> </msqrt> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 32 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 39 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5680 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 37 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 432880 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 35 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 18654440 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 33 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 504001050 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 31 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 8949561495 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 29 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 106524364800 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 27 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 851532885000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 25 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 4512608452800 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 23 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 15403281516000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 21 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 32220659520000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 19 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 37991458512000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 17 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 21701475936000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 15 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 4245940944000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mn> 13 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> erf </mi> <mo> ⁡ </mo> <mo> ( </mo> <msqrt> <mi> z </mi> </msqrt> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> HypergeometricPFQ </ci> <list> <cn type='rational'> 9 <sep /> 2 </cn> <cn type='integer'> 6 </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'> 7 <sep /> 2 </cn> </apply> </list> <ci> z </ci> </apply> <apply> <plus /> <apply> <times /> <cn type='rational'> 1 <sep /> 1719073125 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 2048 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 19 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 362496 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 18 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 27524096 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 17 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1180300800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 16 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 31679235200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 15 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 557489694720 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 14 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 6553298304000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 13 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 51465497395200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 12 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 265777666560000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 11 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 872470859904000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 10 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1715638887244800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 9 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1821333435667200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 850369668019200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 96795146448000 </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'> 4168212048000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 183891708000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 13621608000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4125775500 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2411167500 </cn> <ci> z </ci> </apply> <cn type='integer'> 1719073125 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 1719073125 </cn> <apply> <times /> <cn type='integer'> 64 </cn> <apply> <power /> <exponentiale /> <ci> z </ci> </apply> <apply> <power /> <pi /> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 32 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 39 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 5680 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 37 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 432880 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 35 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 18654440 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 33 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 504001050 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 31 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 8949561495 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 29 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 106524364800 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 27 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 851532885000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 25 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4512608452800 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 23 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 15403281516000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 21 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 32220659520000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 19 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 37991458512000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 17 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 21701475936000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 15 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4245940944000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 13 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <ci> Erf </ci> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[FractionBox["9", "2"], ",", "6"]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["-", FractionBox["11", "2"]]], ",", RowBox[List["-", FractionBox["7", "2"]]]]], "}"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["1719073125", "+", RowBox[List["2411167500", " ", "z"]], "+", RowBox[List["4125775500", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["13621608000", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["183891708000", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["4168212048000", " ", SuperscriptBox["z", "5"]]], "+", RowBox[List["96795146448000", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["850369668019200", " ", SuperscriptBox["z", "7"]]], "+", RowBox[List["1821333435667200", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["1715638887244800", " ", SuperscriptBox["z", "9"]]], "+", RowBox[List["872470859904000", " ", SuperscriptBox["z", "10"]]], "+", RowBox[List["265777666560000", " ", SuperscriptBox["z", "11"]]], "+", RowBox[List["51465497395200", " ", SuperscriptBox["z", "12"]]], "+", RowBox[List["6553298304000", " ", SuperscriptBox["z", "13"]]], "+", RowBox[List["557489694720", " ", SuperscriptBox["z", "14"]]], "+", RowBox[List["31679235200", " ", SuperscriptBox["z", "15"]]], "+", RowBox[List["1180300800", " ", SuperscriptBox["z", "16"]]], "+", RowBox[List["27524096", " ", SuperscriptBox["z", "17"]]], "+", RowBox[List["362496", " ", SuperscriptBox["z", "18"]]], "+", RowBox[List["2048", " ", SuperscriptBox["z", "19"]]]]], "1719073125"], "+", FractionBox[RowBox[List["64", " ", SuperscriptBox["\[ExponentialE]", "z"], " ", SqrtBox["\[Pi]"], " ", RowBox[List["(", RowBox[List[RowBox[List["4245940944000", " ", SuperscriptBox["z", RowBox[List["13", "/", "2"]]]]], "+", RowBox[List["21701475936000", " ", SuperscriptBox["z", RowBox[List["15", "/", "2"]]]]], "+", RowBox[List["37991458512000", " ", SuperscriptBox["z", RowBox[List["17", "/", "2"]]]]], "+", RowBox[List["32220659520000", " ", SuperscriptBox["z", RowBox[List["19", "/", "2"]]]]], "+", RowBox[List["15403281516000", " ", SuperscriptBox["z", RowBox[List["21", "/", "2"]]]]], "+", RowBox[List["4512608452800", " ", SuperscriptBox["z", RowBox[List["23", "/", "2"]]]]], "+", RowBox[List["851532885000", " ", SuperscriptBox["z", RowBox[List["25", "/", "2"]]]]], "+", RowBox[List["106524364800", " ", SuperscriptBox["z", RowBox[List["27", "/", "2"]]]]], "+", RowBox[List["8949561495", " ", SuperscriptBox["z", RowBox[List["29", "/", "2"]]]]], "+", RowBox[List["504001050", " ", SuperscriptBox["z", RowBox[List["31", "/", "2"]]]]], "+", RowBox[List["18654440", " ", SuperscriptBox["z", RowBox[List["33", "/", "2"]]]]], "+", RowBox[List["432880", " ", SuperscriptBox["z", RowBox[List["35", "/", "2"]]]]], "+", RowBox[List["5680", " ", SuperscriptBox["z", RowBox[List["37", "/", "2"]]]]], "+", RowBox[List["32", " ", SuperscriptBox["z", RowBox[List["39", "/", "2"]]]]]]], ")"]], " ", RowBox[List["Erf", "[", SqrtBox["z"], "]"]]]], "1719073125"]]]]]]]

Date Added to functions.wolfram.com (modification date)

2007-05-02

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,...,a_p},{b₁,...,b_q},z]