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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a9wk.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(1/2), 2}, {7/2, 7/2}, z] == (4905 + 8360 z + 32104 z^2 + 1840 z^3 - 105 z^4)/(65536 z^2) - (15 (-207 + 125 z + 1100 z^2 - 900 z^3 - 125 z^4 + 7 z^5) Log[1 - Sqrt[z]])/ (131072 z^(5/2)) + (15 (-207 + 125 z + 1100 z^2 - 900 z^3 - 125 z^4 + 7 z^5) Log[1 + Sqrt[z]])/(131072 z^(5/2)) - (225 (-1 - 5 z + 10 z^2 + 10 z^3) PolyLog[2, -Sqrt[z]])/(16384 z^(5/2)) + (225 (-1 - 5 z + 10 z^2 + 10 z^3) PolyLog[2, Sqrt[z]])/(16384 z^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 1 2 , 2 ; 7 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["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["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["7", "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] - 105 z 4 + 1840 z 3 + 32104 z 2 + 8360 z + 4905 65536 z 2 - 15 ( 7 z 5 - 125 z 4 - 900 z 3 + 1100 z 2 + 125 z - 207 ) log ( 1 - z ) 131072 z 5 / 2 + 15 ( 7 z 5 - 125 z 4 - 900 z 3 + 1100 z 2 + 125 z - 207 ) log ( z + 1 ) 131072 z 5 / 2 - 225 ( 10 z 3 + 10 z 2 - 5 z - 1 ) Li PolyLog 2 ( - z ) 16384 z 5 / 2 + 225 ( 10 z 3 + 10 z 2 - 5 z - 1 ) Li PolyLog 2 ( z ) 16384 z 5 / 2 HypergeometricPFQ -1 5 2 -1 1 2 2 7 2 7 2 z -105 z 4 1840 z 3 32104 z 2 8360 z 4905 65536 z 2 -1 -1 15 7 z 5 -1 125 z 4 -1 900 z 3 1100 z 2 125 z -207 1 -1 z 1 2 131072 z 5 2 -1 15 7 z 5 -1 125 z 4 -1 900 z 3 1100 z 2 125 z -207 z 1 2 1 131072 z 5 2 -1 -1 225 10 z 3 10 z 2 -1 5 z -1 PolyLog 2 -1 z 1 2 16384 z 5 2 -1 225 10 z 3 10 z 2 -1 5 z -1 PolyLog 2 z 1 2 16384 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02