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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{-(1/2), -(1/2), 3/2}, {5/2, 5/2}, z] == (3 Pi^2)/(256 (-z)^(3/2)) - (9 (-3 - 8 z) Sqrt[1 - z])/(128 z) - (9 (-1 + 8 z + 4 z^2) Log[Sqrt[1 - z] + Sqrt[-z]])/(128 (-z)^(3/2)) - (9 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(128 (-z)^(3/2)) + (9 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (64 (-z)^(3/2)) + (9 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (64 (-z)^(3/2)) - (9 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (64 (-z)^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 1 2 , - 1 2 , 3 2 ; 5 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["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["3", "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["5", "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] - 9 log 2 ( 1 - z + - z ) 128 ( - z ) 3 / 2 - 9 ( 4 z 2 + 8 z - 1 ) log ( 1 - z + - z ) 128 ( - z ) 3 / 2 + 9 log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 64 ( - z ) 3 / 2 + 9 Li PolyLog 2 ( - 1 - z - - z ) 64 ( - z ) 3 / 2 - 9 Li PolyLog 2 ( - 1 - z - - z + 1 ) 64 ( - z ) 3 / 2 - 9 ( - 8 z - 3 ) 1 - z 128 z + 3 π 2 256 ( - z ) 3 / 2 HypergeometricPFQ -1 1 2 -1 1 2 3 2 5 2 5 2 z -1 9 1 -1 z 1 2 -1 z 1 2 2 128 -1 z 3 2 -1 -1 9 4 z 2 8 z -1 1 -1 z 1 2 -1 z 1 2 128 -1 z 3 2 -1 9 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 64 -1 z 3 2 -1 9 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 64 -1 z 3 2 -1 -1 9 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 64 -1 z 3 2 -1 -1 9 -8 z -3 1 -1 z 1 2 128 z -1 3 2 256 -1 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02