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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a7y8.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), 1/2}, {3/2, 5/2}, z] == (25 Pi^2)/(2048 Sqrt[-z]) - (Sqrt[1 - z] (225 - 64554 z - 45352 z^2 - 5264 z^3))/(98304 z) - (5 (15 + 1280 z + 4320 z^2 + 1920 z^3 + 128 z^4) Log[Sqrt[1 - z] + Sqrt[-z]])/(32768 (-z)^(3/2)) - (75 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(1024 Sqrt[-z]) + (75 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (512 Sqrt[-z]) + (75 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(512 Sqrt[-z]) - (75 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(512 Sqrt[-z])

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 2 , 1 2 ; 3 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[FractionBox["1", "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["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] - 75 log 2 ( 1 - z + - z ) 1024 - z - 5 ( 128 z 4 + 1920 z 3 + 4320 z 2 + 1280 z + 15 ) log ( 1 - z + - z ) 32768 ( - z ) 3 / 2 + 75 log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 512 - z - 1 - z ( - 5264 z 3 - 45352 z 2 - 64554 z + 225 ) 98304 z + 75 Li PolyLog 2 ( - 1 - z - - z ) 512 - z - 75 Li PolyLog 2 ( - 1 - z - - z + 1 ) 512 - z + 25 π 2 2048 - z HypergeometricPFQ -1 5 2 -1 5 2 1 2 3 2 5 2 z -1 75 1 -1 z 1 2 -1 z 1 2 2 1024 -1 z 1 2 -1 -1 5 128 z 4 1920 z 3 4320 z 2 1280 z 15 1 -1 z 1 2 -1 z 1 2 32768 -1 z 3 2 -1 75 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 512 -1 z 1 2 -1 -1 1 -1 z 1 2 -5264 z 3 -1 45352 z 2 -1 64554 z 225 98304 z -1 75 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 512 -1 z 1 2 -1 -1 75 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 512 -1 z 1 2 -1 25 2 2048 -1 z 1 2 -1 [/itex]

 Rule Form

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

 2007-05-02