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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a7pv.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), -(5/2)}, {-(1/2), 5/2}, z] == -((75 (-z)^(3/2) (10 Pi^2 - Pi^2 z))/1024) - (Sqrt[1 - z] (-375 - 238394 z - 2744072 z^2 + 1291696 z^3))/(262144 z) + (15 (25 - 1600 z - 43200 z^2 - 115200 z^3 + 47232 z^4) Log[Sqrt[1 - z] + Sqrt[-z]])/(262144 (-z)^(3/2)) + (225/512) (10 - z) (-z)^(3/2) Log[Sqrt[1 - z] + Sqrt[-z]]^2 - (225/256) (10 - z) (-z)^(3/2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] - (225/256) (10 - z) (-z)^(3/2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] + (225/256) (10 - z) (-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 , - 5 2 ; - 1 2 , 5 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["5", "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 ( 10 - z ) ( - z ) 3 / 2 log 2 ( 1 - z + - z ) + 15 ( 47232 z 4 - 115200 z 3 - 43200 z 2 - 1600 z + 25 ) log ( 1 - z + - z ) 262144 ( - z ) 3 / 2 - 225 256 ( 10 - z ) ( - z ) 3 / 2 log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) - 75 ( - z ) 3 / 2 ( 10 π 2 - π 2 z ) 1024 - 1 - z ( 1291696 z 3 - 2744072 z 2 - 238394 z - 375 ) 262144 z - 225 256 ( 10 - z ) ( - z ) 3 / 2 Li PolyLog 2 ( - 1 - z - - z ) + 225 256 ( 10 - z ) ( - z ) 3 / 2 Li PolyLog 2 ( - 1 - z - - z + 1 ) HypergeometricPFQ -1 5 2 -1 5 2 -1 5 2 -1 1 2 5 2 z 225 512 10 -1 z -1 z 3 2 1 -1 z 1 2 -1 z 1 2 2 15 47232 z 4 -1 115200 z 3 -1 43200 z 2 -1 1600 z 25 1 -1 z 1 2 -1 z 1 2 262144 -1 z 3 2 -1 -1 225 256 10 -1 z -1 z 3 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 -1 75 -1 z 3 2 10 2 -1 2 z 1024 -1 -1 1 -1 z 1 2 1291696 z 3 -1 2744072 z 2 -1 238394 z -375 262144 z -1 -1 225 256 10 -1 z -1 z 3 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 225 256 10 -1 z -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