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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1301.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(1/2)}, {5/2, 5/2}, z] == (147 (-Pi^2 - 100 Pi^2 z + 800 Pi^2 z^2))/(2097152 (-z)^(3/2)) - (Sqrt[1 - z] (66885 - 20476010 z + 10288536 z^2 + 1262808 z^3 + 43136 z^4))/ (26214400 z) - (21 (427 + 33250 z + 112000 z^2 - 56000 z^3 - 5600 z^4 - 128 z^5) Log[Sqrt[1 - z] + Sqrt[-z]])/(5242880 (-z)^(3/2)) - (441 (-1 - 100 z + 800 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (1048576 (-z)^(3/2)) + (441 (-1 - 100 z + 800 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (524288 (-z)^(3/2)) + (441 (-1 - 100 z + 800 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(524288 (-z)^(3/2)) - (441 (-1 - 100 z + 800 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (524288 (-z)^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 1 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["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", 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["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] - 441 ( 800 z 2 - 100 z - 1 ) log 2 ( 1 - z + - z ) 1048576 ( - z ) 3 / 2 - 21 ( - 128 z 5 - 5600 z 4 - 56000 z 3 + 112000 z 2 + 33250 z + 427 ) log ( 1 - z + - z ) 5242880 ( - z ) 3 / 2 + 441 ( 800 z 2 - 100 z - 1 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 524288 ( - z ) 3 / 2 + 147 ( 800 π 2 z 2 - 100 π 2 z - π 2 ) 2097152 ( - z ) 3 / 2 - 1 - z ( 43136 z 4 + 1262808 z 3 + 10288536 z 2 - 20476010 z + 66885 ) 26214400 z + 441 ( 800 z 2 - 100 z - 1 ) Li PolyLog 2 ( - 1 - z - - z ) 524288 ( - z ) 3 / 2 - 441 ( 800 z 2 - 100 z - 1 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 524288 ( - z ) 3 / 2 HypergeometricPFQ -1 7 2 -1 7 2 -1 1 2 5 2 5 2 z -1 441 800 z 2 -1 100 z -1 1 -1 z 1 2 -1 z 1 2 2 1048576 -1 z 3 2 -1 -1 21 -128 z 5 -1 5600 z 4 -1 56000 z 3 112000 z 2 33250 z 427 1 -1 z 1 2 -1 z 1 2 5242880 -1 z 3 2 -1 441 800 z 2 -1 100 z -1 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 524288 -1 z 3 2 -1 147 800 2 z 2 -1 100 2 z -1 2 2097152 -1 z 3 2 -1 -1 1 -1 z 1 2 43136 z 4 1262808 z 3 10288536 z 2 -1 20476010 z 66885 26214400 z -1 441 800 z 2 -1 100 z -1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 524288 -1 z 3 2 -1 -1 441 800 z 2 -1 100 z -1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 524288 -1 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02