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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a7sj.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), -(3/2)}, {3/2, 3/2}, z] == (Sqrt[1 - z] (21351 - 59762 z + 1616 z^2))/24576 + (25 (Pi^2 - 36 Pi^2 z + 24 Pi^2 z^2))/(8192 Sqrt[-z]) - (5 (-155 + 2640 z^2 - 32 z^3) Log[Sqrt[1 - z] + Sqrt[-z]])/ (8192 Sqrt[-z]) - (75 (1 - 36 z + 24 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (4096 Sqrt[-z]) + (75 (1 - 36 z + 24 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/(2048 Sqrt[-z]) + (75 (1 - 36 z + 24 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (2048 Sqrt[-z]) - (75 (1 - 36 z + 24 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(2048 Sqrt[-z])

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 2 , - 3 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["5", "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[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] - 75 ( 24 z 2 - 36 z + 1 ) log 2 ( 1 - z + - z ) 4096 - z - 5 ( - 32 z 3 + 2640 z 2 - 155 ) log ( 1 - z + - z ) 8192 - z + 75 ( 24 z 2 - 36 z + 1 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 2048 - z + 1 - z ( 1616 z 2 - 59762 z + 21351 ) 24576 + 25 ( 24 π 2 z 2 - 36 π 2 z + π 2 ) 8192 - z + 75 ( 24 z 2 - 36 z + 1 ) Li PolyLog 2 ( - 1 - z - - z ) 2048 - z - 75 ( 24 z 2 - 36 z + 1 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 2048 - z HypergeometricPFQ -1 5 2 -1 5 2 -1 3 2 3 2 3 2 z -1 75 24 z 2 -1 36 z 1 1 -1 z 1 2 -1 z 1 2 2 4096 -1 z 1 2 -1 -1 5 -32 z 3 2640 z 2 -155 1 -1 z 1 2 -1 z 1 2 8192 -1 z 1 2 -1 75 24 z 2 -1 36 z 1 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 2048 -1 z 1 2 -1 1 -1 z 1 2 1616 z 2 -1 59762 z 21351 24576 -1 25 24 2 z 2 -1 36 2 z 2 8192 -1 z 1 2 -1 75 24 z 2 -1 36 z 1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 2048 -1 z 1 2 -1 -1 75 24 z 2 -1 36 z 1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 2048 -1 z 1 2 -1 [/itex]

 Rule Form

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

 2007-05-02