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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.2343.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(5/2), -(5/2)}, {1/2, 1/2}, z] == (525 (5 Pi^2 Sqrt[-z] + 40 Pi^2 (-z)^(3/2) + 8 Pi^2 (-z)^(5/2)))/4096 + (Sqrt[1 - z] (4096 - 280227 z + 212586 z^2 - 400 z^3))/4096 - (105 (-425 Sqrt[-z] + 1400 (-z)^(3/2) + 1216 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]])/4096 - (1575 (5 Sqrt[-z] + 40 (-z)^(3/2) + 8 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/2048 + (1575 (5 Sqrt[-z] + 40 (-z)^(3/2) + 8 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/1024 + (1575 (5 Sqrt[-z] + 40 (-z)^(3/2) + 8 (-z)^(5/2)) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/1024 - (1575 (5 Sqrt[-z] + 40 (-z)^(3/2) + 8 (-z)^(5/2)) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/1024

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 5 2 , - 5 2 ; 1 2 , 1 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["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["5", "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["1", "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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 1575 ( 8 ( - z ) 5 / 2 + 40 ( - z ) 3 / 2 + 5 - z ) log 2 ( 1 - z + - z ) 2048 - 105 ( 1216 ( - z ) 5 / 2 + 1400 ( - z ) 3 / 2 - 425 - z ) log ( 1 - z + - z ) 4096 + 1575 ( 8 ( - z ) 5 / 2 + 40 ( - z ) 3 / 2 + 5 - z ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 1024 + 525 ( 8 π 2 ( - z ) 5 / 2 + 40 π 2 ( - z ) 3 / 2 + 5 π 2 - z ) 4096 + 1 - z ( - 400 z 3 + 212586 z 2 - 280227 z + 4096 ) 4096 + 1575 ( 8 ( - z ) 5 / 2 + 40 ( - z ) 3 / 2 + 5 - z ) Li PolyLog 2 ( - 1 - z - - z ) 1024 - 1575 ( 8 ( - z ) 5 / 2 + 40 ( - z ) 3 / 2 + 5 - z ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 1024 HypergeometricPFQ -1 7 2 -1 5 2 -1 5 2 1 2 1 2 z -1 1575 8 -1 z 5 2 40 -1 z 3 2 5 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 2 2048 -1 -1 105 1216 -1 z 5 2 1400 -1 z 3 2 -1 425 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 4096 -1 1575 8 -1 z 5 2 40 -1 z 3 2 5 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 1024 -1 525 8 2 -1 z 5 2 40 2 -1 z 3 2 5 2 -1 z 1 2 4096 -1 1 -1 z 1 2 -400 z 3 212586 z 2 -1 280227 z 4096 4096 -1 1575 8 -1 z 5 2 40 -1 z 3 2 5 -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1024 -1 -1 1575 8 -1 z 5 2 40 -1 z 3 2 5 -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 1024 -1 [/itex]

 Rule Form

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

 2007-05-02