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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a9jw.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(1/2), -(1/2)}, {3/2, 3/2}, z] == (5 Pi^2 (1 - 6 z))/(768 Sqrt[-z]) + (Sqrt[1 - z] (1779 - 88 z + 4 z^2))/ 2304 - (5 (-23 - 90 z) Log[Sqrt[1 - z] + Sqrt[-z]])/(768 Sqrt[-z]) - (5 (1 - 6 z) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(128 Sqrt[-z]) + (5 (1 - 6 z) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (64 Sqrt[-z]) + (5 (1 - 6 z) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (64 Sqrt[-z]) - (5 (1 - 6 z) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (64 Sqrt[-z])

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 1 2 , - 1 2 ; 3 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["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", 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["3", "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] - 5 ( 1 - 6 z ) log 2 ( 1 - z + - z ) 128 - z + 5 ( 1 - 6 z ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 64 - z - 5 ( - 90 z - 23 ) log ( 1 - z + - z ) 768 - z + 1 - z ( 4 z 2 - 88 z + 1779 ) 2304 + 5 ( 1 - 6 z ) Li PolyLog 2 ( - 1 - z - - z ) 64 - z - 5 ( 1 - 6 z ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 64 - z + 5 π 2 ( 1 - 6 z ) 768 - z HypergeometricPFQ -1 5 2 -1 1 2 -1 1 2 3 2 3 2 z -1 5 1 -1 6 z 1 -1 z 1 2 -1 z 1 2 2 128 -1 z 1 2 -1 5 1 -1 6 z 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 64 -1 z 1 2 -1 -1 5 -90 z -23 1 -1 z 1 2 -1 z 1 2 768 -1 z 1 2 -1 1 -1 z 1 2 4 z 2 -1 88 z 1779 2304 -1 5 1 -1 6 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 64 -1 z 1 2 -1 -1 5 1 -1 6 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 64 -1 z 1 2 -1 5 2 1 -1 6 z 768 -1 z 1 2 -1 [/itex]

 Rule Form

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

 2007-05-02