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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a7pu.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), -(5/2)}, {-(1/2), 3/2}, z] == (-(25/256)) (15 Pi^2 (-z)^(3/2) + 2 Pi^2 (-z)^(5/2)) + (Sqrt[1 - z] (5769 + 110572 z - 75196 z^2))/6144 + (5 (25 + 1350 z + 4200 z^2 - 2832 z^3) Log[Sqrt[1 - z] + Sqrt[-z]])/ (2048 Sqrt[-z]) + (75/128) (15 (-z)^(3/2) + 2 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]]^2 - (75/64) (15 (-z)^(3/2) + 2 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] - (75/64) (15 (-z)^(3/2) + 2 (-z)^(5/2)) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] + (75/64) (15 (-z)^(3/2) + 2 (-z)^(5/2)) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 2 , - 5 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["5", "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["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] 75 128 ( 2 ( - z ) 5 / 2 + 15 ( - z ) 3 / 2 ) log 2 ( 1 - z + - z ) + 5 ( - 2832 z 3 + 4200 z 2 + 1350 z + 25 ) log ( 1 - z + - z ) 2048 - z - 75 64 ( 2 ( - z ) 5 / 2 + 15 ( - z ) 3 / 2 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) - 25 256 ( 2 π 2 ( - z ) 5 / 2 + 15 π 2 ( - z ) 3 / 2 ) + 1 - z ( - 75196 z 2 + 110572 z + 5769 ) 6144 - 75 64 ( 2 ( - z ) 5 / 2 + 15 ( - z ) 3 / 2 ) Li PolyLog 2 ( - 1 - z - - z ) + 75 64 ( 2 ( - z ) 5 / 2 + 15 ( - z ) 3 / 2 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) HypergeometricPFQ -1 5 2 -1 5 2 -1 5 2 -1 1 2 3 2 z 75 128 2 -1 z 5 2 15 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 2 5 -2832 z 3 4200 z 2 1350 z 25 1 -1 z 1 2 -1 z 1 2 2048 -1 z 1 2 -1 -1 75 64 2 -1 z 5 2 15 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 -1 25 256 2 2 -1 z 5 2 15 2 -1 z 3 2 1 -1 z 1 2 -75196 z 2 110572 z 5769 6144 -1 -1 75 64 2 -1 z 5 2 15 -1 z 3 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 75 64 2 -1 z 5 2 15 -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