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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a84w.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), 3/2}, {5/2, 7/2}, z] == (375 Pi^2)/(131072 (-z)^(3/2)) + (Sqrt[1 - z] (135 + 7215 z + 99394 z^2 + 77312 z^3 + 8064 z^4))/ (131072 z^2) - (15 (9 + 175 z - 2400 z^2 - 7200 z^3 - 3200 z^4 - 192 z^5) Log[Sqrt[1 - z] + Sqrt[-z]])/(131072 (-z)^(5/2)) - (1125 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(65536 (-z)^(3/2)) + (1125 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (32768 (-z)^(3/2)) + (1125 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (32768 (-z)^(3/2)) - (1125 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (32768 (-z)^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 2 , 3 2 ; 5 2 , 7 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[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["7", "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] - 1125 log 2 ( 1 - z + - z ) 65536 ( - z ) 3 / 2 - 15 ( - 192 z 5 - 3200 z 4 - 7200 z 3 - 2400 z 2 + 175 z + 9 ) log ( 1 - z + - z ) 131072 ( - z ) 5 / 2 + 1125 log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 32768 ( - z ) 3 / 2 + 1 - z ( 8064 z 4 + 77312 z 3 + 99394 z 2 + 7215 z + 135 ) 131072 z 2 + 1125 Li PolyLog 2 ( - 1 - z - - z ) 32768 ( - z ) 3 / 2 - 1125 Li PolyLog 2 ( - 1 - z - - z + 1 ) 32768 ( - z ) 3 / 2 + 375 π 2 131072 ( - z ) 3 / 2 HypergeometricPFQ -1 5 2 -1 5 2 3 2 5 2 7 2 z -1 1125 1 -1 z 1 2 -1 z 1 2 2 65536 -1 z 3 2 -1 -1 15 -192 z 5 -1 3200 z 4 -1 7200 z 3 -1 2400 z 2 175 z 9 1 -1 z 1 2 -1 z 1 2 131072 -1 z 5 2 -1 1125 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 32768 -1 z 3 2 -1 1 -1 z 1 2 8064 z 4 77312 z 3 99394 z 2 7215 z 135 131072 z 2 -1 1125 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 32768 -1 z 3 2 -1 -1 1125 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 32768 -1 z 3 2 -1 375 2 131072 -1 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02