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 | | http://functions.wolfram.com/07.23.03.bgmt.01 | 
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 | | Hypergeometric2F1[-(29/8), 7/8, 23/4, z] == (1/(18542839131 z^5)) 
  (16 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (6966960 - 60728668 z + 236055911 z^2 - 
    542522604 z^3 + 858375466 z^4 - 116002248 z^5 + 51586263 z^6 - 
    13604040 z^7 + 1597120 z^8 + (1/Sqrt[1 - z]) (-6966960 + 64212148 z - 
      265549375 z^2 + 653394911 z^3 - 1103653174 z^4 + 1069410162 z^5 - 
      601660059 z^6 + 243232107 z^7 - 58808240 z^8 + 6388480 z^9))) | 
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 | | Cell[BoxData[RowBox[List[RowBox[List["Hypergeometric2F1", "[", RowBox[List[RowBox[List["-", FractionBox["29", "8"]]], ",", FractionBox["7", "8"], ",", FractionBox["23", "4"], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", RowBox[List["18542839131", " ", SuperscriptBox["z", "5"]]]], RowBox[List["(", RowBox[List["16", " ", SuperscriptBox["2", RowBox[List["3", "/", "4"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", SqrtBox[RowBox[List["1", "-", "z"]]]]], ")"]], RowBox[List["1", "/", "4"]]], " ", RowBox[List["(", RowBox[List["6966960", "-", RowBox[List["60728668", " ", "z"]], "+", RowBox[List["236055911", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["542522604", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["858375466", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["116002248", " ", SuperscriptBox["z", "5"]]], "+", RowBox[List["51586263", " ", SuperscriptBox["z", "6"]]], "-", RowBox[List["13604040", " ", SuperscriptBox["z", "7"]]], "+", RowBox[List["1597120", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List[FractionBox["1", SqrtBox[RowBox[List["1", "-", "z"]]]], RowBox[List["(", RowBox[List[RowBox[List["-", "6966960"]], "+", RowBox[List["64212148", " ", "z"]], "-", RowBox[List["265549375", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["653394911", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["1103653174", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["1069410162", " ", SuperscriptBox["z", "5"]]], "-", RowBox[List["601660059", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["243232107", " ", SuperscriptBox["z", "7"]]], "-", RowBox[List["58808240", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["6388480", " ", SuperscriptBox["z", "9"]]]]], ")"]]]]]], ")"]]]], ")"]]]]]]]] | 
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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> 1 </mn>  </msub>  </mrow>  <mo> ⁡ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mrow>  <mrow>  <mo> - </mo>  <mfrac>  <mn> 29 </mn>  <mn> 8 </mn>  </mfrac>  </mrow>  <mo> , </mo>  <mfrac>  <mn> 7 </mn>  <mn> 8 </mn>  </mfrac>  </mrow>  <mo> ; </mo>  <mfrac>  <mn> 23 </mn>  <mn> 4 </mn>  </mfrac>  <mo> ; </mo>  <mi> z </mi>  </mrow>  <mo> ) </mo>  </mrow>  </mrow>  <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["29", "8"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["7", "8"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[FractionBox["23", "4"], 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>  <mrow>  <mn> 18542839131 </mn>  <mo> ⁢ </mo>  <msup>  <mi> z </mi>  <mn> 5 </mn>  </msup>  </mrow>  </mfrac>  <mo> ⁢ </mo>  <mrow>  <mo> ( </mo>  <mrow>  <mn> 16 </mn>  <mo> ⁢ </mo>  <msup>  <mn> 2 </mn>  <mrow>  <mn> 3 </mn>  <mo> / </mo>  <mn> 4 </mn>  </mrow>  </msup>  <mo> ⁢ </mo>  <mroot>  <mrow>  <msqrt>  <mrow>  <mn> 1 </mn>  <mo> - 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 | | Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Hypergeometric2F1", "[", RowBox[List[RowBox[List["-", FractionBox["29", "8"]]], ",", FractionBox["7", "8"], ",", FractionBox["23", "4"], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["16", " ", SuperscriptBox["2", RowBox[List["3", "/", "4"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", SqrtBox[RowBox[List["1", "-", "z"]]]]], ")"]], RowBox[List["1", "/", "4"]]], " ", RowBox[List["(", RowBox[List["6966960", "-", RowBox[List["60728668", " ", "z"]], "+", RowBox[List["236055911", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["542522604", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["858375466", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["116002248", " ", SuperscriptBox["z", "5"]]], "+", RowBox[List["51586263", " ", SuperscriptBox["z", "6"]]], "-", RowBox[List["13604040", " ", SuperscriptBox["z", "7"]]], "+", RowBox[List["1597120", " ", SuperscriptBox["z", "8"]]], "+", FractionBox[RowBox[List[RowBox[List["-", "6966960"]], "+", RowBox[List["64212148", " ", "z"]], "-", RowBox[List["265549375", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["653394911", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["1103653174", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["1069410162", " ", SuperscriptBox["z", "5"]]], "-", RowBox[List["601660059", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["243232107", " ", SuperscriptBox["z", "7"]]], "-", RowBox[List["58808240", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["6388480", " ", SuperscriptBox["z", "9"]]]]], SqrtBox[RowBox[List["1", "-", "z"]]]]]], ")"]]]], RowBox[List["18542839131", " ", SuperscriptBox["z", "5"]]]]]]]] | 
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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,b2},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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