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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a7pt.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), -(5/2)}, {-(1/2), 1/2}, z] == (-(75/64)) (5 Pi^2 (-z)^(3/2) + Pi^2 (-z)^(5/2)) + (1/512) Sqrt[1 - z] (512 + 28881 z - 34058 z^2) + (15/512) (-225 Sqrt[-z] + 800 (-z)^(3/2) + 1336 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]] + (225/32) (5 (-z)^(3/2) + (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]]^2 - (225/16) (5 (-z)^(3/2) + (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] - (225/16) (5 (-z)^(3/2) + (-z)^(5/2)) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] + (225/16) (5 (-z)^(3/2) + (-z)^(5/2)) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]

 Standard Form

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 MathML Form

 3 F 2 ( - 5 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["5", "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[RowBox[List["-", 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] 225 32 ( ( - z ) 5 / 2 + 5 ( - z ) 3 / 2 ) log 2 ( 1 - z + - z ) + 15 512 ( 1336 ( - z ) 5 / 2 + 800 ( - z ) 3 / 2 - 225 - z ) log ( 1 - z + - z ) - 225 16 ( ( - z ) 5 / 2 + 5 ( - z ) 3 / 2 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) - 75 64 ( π 2 ( - z ) 5 / 2 + 5 π 2 ( - z ) 3 / 2 ) + 1 512 1 - z ( - 34058 z 2 + 28881 z + 512 ) - 225 16 ( ( - z ) 5 / 2 + 5 ( - z ) 3 / 2 ) Li PolyLog 2 ( - 1 - z - - z ) + 225 16 ( ( - z ) 5 / 2 + 5 ( - z ) 3 / 2 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) HypergeometricPFQ -1 5 2 -1 5 2 -1 5 2 -1 1 2 1 2 z 225 32 -1 z 5 2 5 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 2 15 512 1336 -1 z 5 2 800 -1 z 3 2 -1 225 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 -1 225 16 -1 z 5 2 5 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 -1 75 64 2 -1 z 5 2 5 2 -1 z 3 2 1 512 1 -1 z 1 2 -34058 z 2 28881 z 512 -1 225 16 -1 z 5 2 5 -1 z 3 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 225 16 -1 z 5 2 5 -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