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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a8ly.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), 4}, {5/2, 7/2}, z] == (-90 + 13095 z + 1539509 z^2 + 2993755 z^3 + 590115 z^4)/(2097152 z^2) + (15 (-6 + 575 z - 25400 z^2 - 64200 z^3 + 63550 z^4 + 25481 z^5) Log[1 - Sqrt[z]])/(4194304 z^(5/2)) - (15 (-6 + 575 z - 25400 z^2 - 64200 z^3 + 63550 z^4 + 25481 z^5) Log[1 + Sqrt[z]])/(4194304 z^(5/2)) - (225 (-5 + 200 z + 2100 z^2 + 2100 z^3 + 231 z^4) PolyLog[2, -Sqrt[z]])/ (1048576 z^(3/2)) + (225 (-5 + 200 z + 2100 z^2 + 2100 z^3 + 231 z^4) PolyLog[2, Sqrt[z]])/(1048576 z^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 2 , 4 ; 5 2 , 7 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["4", 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["7", "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] 590115 z 4 + 2993755 z 3 + 1539509 z 2 + 13095 z - 90 2097152 z 2 + 15 ( 25481 z 5 + 63550 z 4 - 64200 z 3 - 25400 z 2 + 575 z - 6 ) log ( 1 - z ) 4194304 z 5 / 2 - 15 ( 25481 z 5 + 63550 z 4 - 64200 z 3 - 25400 z 2 + 575 z - 6 ) log ( z + 1 ) 4194304 z 5 / 2 - 225 ( 231 z 4 + 2100 z 3 + 2100 z 2 + 200 z - 5 ) Li PolyLog 2 ( - z ) 1048576 z 3 / 2 + 225 ( 231 z 4 + 2100 z 3 + 2100 z 2 + 200 z - 5 ) Li PolyLog 2 ( z ) 1048576 z 3 / 2 HypergeometricPFQ -1 5 2 -1 5 2 4 5 2 7 2 z 590115 z 4 2993755 z 3 1539509 z 2 13095 z -90 2097152 z 2 -1 15 25481 z 5 63550 z 4 -1 64200 z 3 -1 25400 z 2 575 z -6 1 -1 z 1 2 4194304 z 5 2 -1 -1 15 25481 z 5 63550 z 4 -1 64200 z 3 -1 25400 z 2 575 z -6 z 1 2 1 4194304 z 5 2 -1 -1 225 231 z 4 2100 z 3 2100 z 2 200 z -5 PolyLog 2 -1 z 1 2 1048576 z 3 2 -1 225 231 z 4 2100 z 3 2100 z 2 200 z -5 PolyLog 2 z 1 2 1048576 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02