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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{-(5/2), 1/2, 3/2}, {5/2, 5/2}, z] == (15 Pi^2)/(1024 (-z)^(3/2)) - (Sqrt[1 - z] (-555 - 938 z + 296 z^2 - 48 z^3))/(2048 z) + (15 (13 - 96 z) Log[Sqrt[1 - z] + Sqrt[-z]])/(2048 (-z)^(3/2)) - (45 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(512 (-z)^(3/2)) + (45 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (256 (-z)^(3/2)) + (45 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (256 (-z)^(3/2)) - (45 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (256 (-z)^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , 1 2 , 3 2 ; 5 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[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[TagBox[RowBox[List[TagBox[FractionBox["5", "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] - 45 log 2 ( 1 - z + - z ) 512 ( - z ) 3 / 2 + 45 log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 256 ( - z ) 3 / 2 + 15 ( 13 - 96 z ) log ( 1 - z + - z ) 2048 ( - z ) 3 / 2 - 1 - z ( - 48 z 3 + 296 z 2 - 938 z - 555 ) 2048 z + 45 Li PolyLog 2 ( - 1 - z - - z ) 256 ( - z ) 3 / 2 - 45 Li PolyLog 2 ( - 1 - z - - z + 1 ) 256 ( - z ) 3 / 2 + 15 π 2 1024 ( - z ) 3 / 2 HypergeometricPFQ -1 5 2 1 2 3 2 5 2 5 2 z -1 45 1 -1 z 1 2 -1 z 1 2 2 512 -1 z 3 2 -1 45 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 256 -1 z 3 2 -1 15 13 -1 96 z 1 -1 z 1 2 -1 z 1 2 2048 -1 z 3 2 -1 -1 1 -1 z 1 2 -48 z 3 296 z 2 -1 938 z -555 2048 z -1 45 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 256 -1 z 3 2 -1 -1 45 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 256 -1 z 3 2 -1 15 2 1024 -1 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02