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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a7sc.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), -(3/2)}, {1/2, 3/2}, z] == (75 (3 Pi^2 Sqrt[-z] + 4 Pi^2 (-z)^(3/2)))/1024 + (Sqrt[1 - z] (1973 - 16526 z + 768 z^2))/2048 - (15 (-5 + 180 z + 760 z^2 - 16 z^3) Log[Sqrt[1 - z] + Sqrt[-z]])/ (2048 Sqrt[-z]) - (225/512) (3 Sqrt[-z] + 4 (-z)^(3/2)) Log[Sqrt[1 - z] + Sqrt[-z]]^2 + (225/256) (3 Sqrt[-z] + 4 (-z)^(3/2)) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] + (225/256) (3 Sqrt[-z] + 4 (-z)^(3/2)) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] - (225/256) (3 Sqrt[-z] + 4 (-z)^(3/2)) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 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["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["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] - 225 512 ( 4 ( - z ) 3 / 2 + 3 - z ) log 2 ( 1 - z + - z ) - 15 ( - 16 z 3 + 760 z 2 + 180 z - 5 ) log ( 1 - z + - z ) 2048 - z + 225 256 ( 4 ( - z ) 3 / 2 + 3 - z ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) + 75 ( 4 π 2 ( - z ) 3 / 2 + 3 π 2 - z ) 1024 + 1 - z ( 768 z 2 - 16526 z + 1973 ) 2048 + 225 256 ( 4 ( - z ) 3 / 2 + 3 - z ) Li PolyLog 2 ( - 1 - z - - z ) - 225 256 ( 4 ( - z ) 3 / 2 + 3 - z ) Li PolyLog 2 ( - 1 - z - - z + 1 ) HypergeometricPFQ -1 5 2 -1 5 2 -1 3 2 1 2 3 2 z -1 225 512 4 -1 z 3 2 3 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 2 -1 15 -16 z 3 760 z 2 180 z -5 1 -1 z 1 2 -1 z 1 2 2048 -1 z 1 2 -1 225 256 4 -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 75 4 2 -1 z 3 2 3 2 -1 z 1 2 1024 -1 1 -1 z 1 2 768 z 2 -1 16526 z 1973 2048 -1 225 256 4 -1 z 3 2 3 -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 -1 225 256 4 -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