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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a88a.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), 2}, {7/2, 7/2}, z] == (7965 + 26430 z + 318574 z^2 + 217070 z^3 + 19785 z^4)/(524288 z^2) + (15 (351 + 125 z - 8000 z^2 + 6625 z^4 + 899 z^5) Log[1 - Sqrt[z]])/ (1048576 z^(5/2)) - (15 (351 + 125 z - 8000 z^2 + 6625 z^4 + 899 z^5) Log[1 + Sqrt[z]])/(1048576 z^(5/2)) - (225 (-3 - 25 z + 100 z^2 + 300 z^3 + 125 z^4 + 7 z^5) PolyLog[2, -Sqrt[z]])/(262144 z^(5/2)) + (225 (-3 - 25 z + 100 z^2 + 300 z^3 + 125 z^4 + 7 z^5) PolyLog[2, Sqrt[z]])/ (262144 z^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 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["5", "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] 19785 z 4 + 217070 z 3 + 318574 z 2 + 26430 z + 7965 524288 z 2 + 15 ( 899 z 5 + 6625 z 4 - 8000 z 2 + 125 z + 351 ) log ( 1 - z ) 1048576 z 5 / 2 - 15 ( 899 z 5 + 6625 z 4 - 8000 z 2 + 125 z + 351 ) log ( z + 1 ) 1048576 z 5 / 2 - 225 ( 7 z 5 + 125 z 4 + 300 z 3 + 100 z 2 - 25 z - 3 ) Li PolyLog 2 ( - z ) 262144 z 5 / 2 + 225 ( 7 z 5 + 125 z 4 + 300 z 3 + 100 z 2 - 25 z - 3 ) Li PolyLog 2 ( z ) 262144 z 5 / 2 HypergeometricPFQ -1 5 2 -1 5 2 2 7 2 7 2 z 19785 z 4 217070 z 3 318574 z 2 26430 z 7965 524288 z 2 -1 15 899 z 5 6625 z 4 -1 8000 z 2 125 z 351 1 -1 z 1 2 1048576 z 5 2 -1 -1 15 899 z 5 6625 z 4 -1 8000 z 2 125 z 351 z 1 2 1 1048576 z 5 2 -1 -1 225 7 z 5 125 z 4 300 z 3 100 z 2 -1 25 z -3 PolyLog 2 -1 z 1 2 262144 z 5 2 -1 225 7 z 5 125 z 4 300 z 3 100 z 2 -1 25 z -3 PolyLog 2 z 1 2 262144 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02