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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1019.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {-(1/2), -(1/2)}, z] == (3675 (35 Pi^2 (-z)^(3/2) + 112 Pi^2 (-z)^(5/2) + 8 Pi^2 (-z)^(7/2)))/2048 + (Sqrt[1 - z] (2048 - 350208 z + 7842777 z^2 - 2096462 z^3))/2048 - (105 (-13475 (-z)^(3/2) + 48608 (-z)^(5/2) + 10672 (-z)^(7/2)) Log[Sqrt[1 - z] + Sqrt[-z]])/2048 - (11025 (35 (-z)^(3/2) + 112 (-z)^(5/2) + 8 (-z)^(7/2)) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/1024 + (11025/512) (35 (-z)^(3/2) + 112 (-z)^(5/2) + 8 (-z)^(7/2)) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] + (11025/512) (35 (-z)^(3/2) + 112 (-z)^(5/2) + 8 (-z)^(7/2)) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] - (11025/512) (35 (-z)^(3/2) + 112 (-z)^(5/2) + 8 (-z)^(7/2)) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 7 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["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["7", "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[RowBox[List["-", FractionBox["1", "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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 11025 ( 8 ( - z ) 7 / 2 + 112 ( - z ) 5 / 2 + 35 ( - z ) 3 / 2 ) log 2 ( 1 - z + - z ) 1024 - 105 ( 10672 ( - z ) 7 / 2 + 48608 ( - z ) 5 / 2 - 13475 ( - z ) 3 / 2 ) log ( 1 - z + - z ) 2048 + 11025 512 ( 8 ( - z ) 7 / 2 + 112 ( - z ) 5 / 2 + 35 ( - z ) 3 / 2 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) + 3675 ( 8 π 2 ( - z ) 7 / 2 + 112 π 2 ( - z ) 5 / 2 + 35 π 2 ( - z ) 3 / 2 ) 2048 + 1 - z ( - 2096462 z 3 + 7842777 z 2 - 350208 z + 2048 ) 2048 + 11025 512 ( 8 ( - z ) 7 / 2 + 112 ( - z ) 5 / 2 + 35 ( - z ) 3 / 2 ) Li PolyLog 2 ( - 1 - z - - z ) - 11025 512 ( 8 ( - z ) 7 / 2 + 112 ( - z ) 5 / 2 + 35 ( - z ) 3 / 2 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) HypergeometricPFQ -1 7 2 -1 7 2 -1 7 2 -1 1 2 -1 1 2 z -1 11025 8 -1 z 7 2 112 -1 z 5 2 35 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 2 1024 -1 -1 105 10672 -1 z 7 2 48608 -1 z 5 2 -1 13475 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 2048 -1 11025 512 8 -1 z 7 2 112 -1 z 5 2 35 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 3675 8 2 -1 z 7 2 112 2 -1 z 5 2 35 2 -1 z 3 2 2048 -1 1 -1 z 1 2 -2096462 z 3 7842777 z 2 -1 350208 z 2048 2048 -1 11025 512 8 -1 z 7 2 112 -1 z 5 2 35 -1 z 3 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 -1 11025 512 8 -1 z 7 2 112 -1 z 5 2 35 -1 z 3 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 [/itex]

 Rule Form

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

 2007-05-02