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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a8o1.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(3/2), -(3/2)}, {-(1/2), 1/2}, z] == (-(15/16)) Pi^2 (-z)^(3/2) + (1/32) Sqrt[1 - z] (32 + 601 z - 18 z^2) + (15/32) (-9 Sqrt[-z] + 32 (-z)^(3/2)) Log[Sqrt[1 - z] + Sqrt[-z]] + (45/8) (-z)^(3/2) Log[Sqrt[1 - z] + Sqrt[-z]]^2 - (45/4) (-z)^(3/2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] - (45/4) (-z)^(3/2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] + (45/4) (-z)^(3/2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 3 2 , - 3 2 ; - 1 2 , 1 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[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["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 8 ( - z ) 3 / 2 log 2 ( 1 - z + - z ) + 15 32 ( 32 ( - z ) 3 / 2 - 9 - z ) log ( 1 - z + - z ) - 45 4 ( - z ) 3 / 2 log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) - 15 16 π 2 ( - z ) 3 / 2 + 1 32 1 - z ( - 18 z 2 + 601 z + 32 ) - 45 4 ( - z ) 3 / 2 Li PolyLog 2 ( - 1 - z - - z ) + 45 4 ( - z ) 3 / 2 Li PolyLog 2 ( - 1 - z - - z + 1 ) HypergeometricPFQ -1 5 2 -1 3 2 -1 3 2 -1 1 2 1 2 z 45 8 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 2 15 32 32 -1 z 3 2 -1 9 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 -1 45 4 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 -1 15 16 2 -1 z 3 2 1 32 1 -1 z 1 2 -18 z 2 601 z 32 -1 45 4 -1 z 3 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 45 4 -1 z 3 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