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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a9mw.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(1/2), 1/2}, {5/2, 5/2}, z] == (15 Pi^2 (-1 - 16 z))/(8192 (-z)^(3/2)) - (Sqrt[1 - z] (825 - 7714 z - 312 z^2 + 16 z^3))/(16384 z) - (15 (31 + 160 z + 288 z^2) Log[Sqrt[1 - z] + Sqrt[-z]])/ (16384 (-z)^(3/2)) - (45 (-1 - 16 z) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (4096 (-z)^(3/2)) + (45 (-1 - 16 z) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/(2048 (-z)^(3/2)) + (45 (-1 - 16 z) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(2048 (-z)^(3/2)) - (45 (-1 - 16 z) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(2048 (-z)^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 1 2 , 1 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["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[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["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] - 45 ( - 16 z - 1 ) log 2 ( 1 - z + - z ) 4096 ( - z ) 3 / 2 - 15 ( 288 z 2 + 160 z + 31 ) log ( 1 - z + - z ) 16384 ( - z ) 3 / 2 + 45 ( - 16 z - 1 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 2048 ( - z ) 3 / 2 - 1 - z ( 16 z 3 - 312 z 2 - 7714 z + 825 ) 16384 z + 45 ( - 16 z - 1 ) Li PolyLog 2 ( - 1 - z - - z ) 2048 ( - z ) 3 / 2 - 45 ( - 16 z - 1 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 2048 ( - z ) 3 / 2 + 15 π 2 ( - 16 z - 1 ) 8192 ( - z ) 3 / 2 HypergeometricPFQ -1 5 2 -1 1 2 1 2 5 2 5 2 z -1 45 -16 z -1 1 -1 z 1 2 -1 z 1 2 2 4096 -1 z 3 2 -1 -1 15 288 z 2 160 z 31 1 -1 z 1 2 -1 z 1 2 16384 -1 z 3 2 -1 45 -16 z -1 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 2048 -1 z 3 2 -1 -1 1 -1 z 1 2 16 z 3 -1 312 z 2 -1 7714 z 825 16384 z -1 45 -16 z -1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 2048 -1 z 3 2 -1 -1 45 -16 z -1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 2048 -1 z 3 2 -1 15 2 -16 z -1 8192 -1 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02