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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a8o6.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(3/2), -(3/2)}, {1/2, 3/2}, z] == (15/256) (3 Pi^2 Sqrt[-z] + 2 Pi^2 (-z)^(3/2)) + (Sqrt[1 - z] (979 - 4498 z + 24 z^2))/1024 - (15 (-3 + 36 z + 200 z^2) Log[Sqrt[1 - z] + Sqrt[-z]])/(1024 Sqrt[-z]) - (45/128) (3 Sqrt[-z] + 2 (-z)^(3/2)) Log[Sqrt[1 - z] + Sqrt[-z]]^2 + (45/64) (3 Sqrt[-z] + 2 (-z)^(3/2)) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] + (45/64) (3 Sqrt[-z] + 2 (-z)^(3/2)) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] - (45/64) (3 Sqrt[-z] + 2 (-z)^(3/2)) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 3 2 , - 3 2 ; 1 2 , 3 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["3", "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["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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 45 128 ( 2 ( - z ) 3 / 2 + 3 - z ) log 2 ( 1 - z + - z ) - 15 ( 200 z 2 + 36 z - 3 ) log ( 1 - z + - z ) 1024 - z + 45 64 ( 2 ( - z ) 3 / 2 + 3 - z ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) + 15 256 ( 2 π 2 ( - z ) 3 / 2 + 3 π 2 - z ) + 1 - z ( 24 z 2 - 4498 z + 979 ) 1024 + 45 64 ( 2 ( - z ) 3 / 2 + 3 - z ) Li PolyLog 2 ( - 1 - z - - z ) - 45 64 ( 2 ( - z ) 3 / 2 + 3 - z ) Li PolyLog 2 ( - 1 - z - - z + 1 ) HypergeometricPFQ -1 5 2 -1 3 2 -1 3 2 1 2 3 2 z -1 45 128 2 -1 z 3 2 3 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 2 -1 15 200 z 2 36 z -3 1 -1 z 1 2 -1 z 1 2 1024 -1 z 1 2 -1 45 64 2 -1 z 3 2 3 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 15 256 2 2 -1 z 3 2 3 2 -1 z 1 2 1 -1 z 1 2 24 z 2 -1 4498 z 979 1024 -1 45 64 2 -1 z 3 2 3 -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 -1 45 64 2 -1 z 3 2 3 -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 [/itex]

 Rule Form

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

 2007-05-02