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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a7sp.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), -(3/2)}, {5/2, 5/2}, z] == -((Sqrt[1 - z] (675 - 205919 z + 200078 z^2 - 2604 z^3))/(262144 z)) + (75 (-Pi^2 - 96 Pi^2 z + 864 Pi^2 z^2 - 256 Pi^2 z^3))/ (1048576 (-z)^(3/2)) - (15 (15 + 1140 z + 3240 z^2 - 4160 z^3 + 24 z^4) Log[Sqrt[1 - z] + Sqrt[-z]])/(131072 (-z)^(3/2)) - (225 (-1 - 96 z + 864 z^2 - 256 z^3) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (524288 (-z)^(3/2)) + (225 (-1 - 96 z + 864 z^2 - 256 z^3) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (262144 (-z)^(3/2)) + (225 (-1 - 96 z + 864 z^2 - 256 z^3) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(262144 (-z)^(3/2)) - (225 (-1 - 96 z + 864 z^2 - 256 z^3) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(262144 (-z)^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 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["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", 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] - 225 ( - 256 z 3 + 864 z 2 - 96 z - 1 ) log 2 ( 1 - z + - z ) 524288 ( - z ) 3 / 2 - 15 ( 24 z 4 - 4160 z 3 + 3240 z 2 + 1140 z + 15 ) log ( 1 - z + - z ) 131072 ( - z ) 3 / 2 + 225 ( - 256 z 3 + 864 z 2 - 96 z - 1 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 262144 ( - z ) 3 / 2 - 1 - z ( - 2604 z 3 + 200078 z 2 - 205919 z + 675 ) 262144 z + 75 ( - 256 π 2 z 3 + 864 π 2 z 2 - 96 π 2 z - π 2 ) 1048576 ( - z ) 3 / 2 + 225 ( - 256 z 3 + 864 z 2 - 96 z - 1 ) Li PolyLog 2 ( - 1 - z - - z ) 262144 ( - z ) 3 / 2 - 225 ( - 256 z 3 + 864 z 2 - 96 z - 1 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 262144 ( - z ) 3 / 2 HypergeometricPFQ -1 5 2 -1 5 2 -1 3 2 5 2 5 2 z -1 225 -256 z 3 864 z 2 -1 96 z -1 1 -1 z 1 2 -1 z 1 2 2 524288 -1 z 3 2 -1 -1 15 24 z 4 -1 4160 z 3 3240 z 2 1140 z 15 1 -1 z 1 2 -1 z 1 2 131072 -1 z 3 2 -1 225 -256 z 3 864 z 2 -1 96 z -1 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 262144 -1 z 3 2 -1 -1 1 -1 z 1 2 -2604 z 3 200078 z 2 -1 205919 z 675 262144 z -1 75 -256 2 z 3 864 2 z 2 -1 96 2 z -1 2 1048576 -1 z 3 2 -1 225 -256 z 3 864 z 2 -1 96 z -1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 262144 -1 z 3 2 -1 -1 225 -256 z 3 864 z 2 -1 96 z -1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 262144 -1 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02