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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a9jx.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(1/2), -(1/2)}, {3/2, 5/2}, z] == (5 (Pi^2 - 3 Pi^2 z))/(512 Sqrt[-z]) - (Sqrt[1 - z] (45 - 17586 z + 472 z^2 - 16 z^3))/(24576 z) - (5 (3 + 272 z + 864 z^2) Log[Sqrt[1 - z] + Sqrt[-z]])/(8192 (-z)^(3/2)) - (15 (1 - 3 z) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(256 Sqrt[-z]) + (15 (1 - 3 z) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (128 Sqrt[-z]) + (15 (1 - 3 z) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (128 Sqrt[-z]) - (15 (1 - 3 z) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (128 Sqrt[-z])

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 1 2 , - 1 2 ; 3 2 , 5 2 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["1", "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[FractionBox["3", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["5", "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] - 15 ( 1 - 3 z ) log 2 ( 1 - z + - z ) 256 - z - 5 ( 864 z 2 + 272 z + 3 ) log ( 1 - z + - z ) 8192 ( - z ) 3 / 2 + 15 ( 1 - 3 z ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 128 - z + 5 ( π 2 - 3 π 2 z ) 512 - z - 1 - z ( - 16 z 3 + 472 z 2 - 17586 z + 45 ) 24576 z + 15 ( 1 - 3 z ) Li PolyLog 2 ( - 1 - z - - z ) 128 - z - 15 ( 1 - 3 z ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 128 - z HypergeometricPFQ -1 5 2 -1 1 2 -1 1 2 3 2 5 2 z -1 15 1 -1 3 z 1 -1 z 1 2 -1 z 1 2 2 256 -1 z 1 2 -1 -1 5 864 z 2 272 z 3 1 -1 z 1 2 -1 z 1 2 8192 -1 z 3 2 -1 15 1 -1 3 z 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 128 -1 z 1 2 -1 5 2 -1 3 2 z 512 -1 z 1 2 -1 -1 1 -1 z 1 2 -16 z 3 472 z 2 -1 17586 z 45 24576 z -1 15 1 -1 3 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 128 -1 z 1 2 -1 -1 15 1 -1 3 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 128 -1 z 1 2 -1 [/itex]

 Rule Form

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

 2007-05-02