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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a93o.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(3/2), 2}, {5/2, 7/2}, z] == (135 + 2670 z + 39938 z^2 + 20430 z^3 + 315 z^4)/(65536 z^2) + (15 (9 + 55 z - 1020 z^2 + 180 z^3 + 755 z^4 + 21 z^5) Log[1 - Sqrt[z]])/ (131072 z^(5/2)) - (15 (9 + 55 z - 1020 z^2 + 180 z^3 + 755 z^4 + 21 z^5) Log[1 + Sqrt[z]])/(131072 z^(5/2)) - (225 (-1 + 6 z + 18 z^2 + 5 z^3) PolyLog[2, -Sqrt[z]])/(16384 z^(3/2)) + (225 (-1 + 6 z + 18 z^2 + 5 z^3) PolyLog[2, Sqrt[z]])/(16384 z^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 3 2 , 2 ; 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["3", "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["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] 315 z 4 + 20430 z 3 + 39938 z 2 + 2670 z + 135 65536 z 2 + 15 ( 21 z 5 + 755 z 4 + 180 z 3 - 1020 z 2 + 55 z + 9 ) log ( 1 - z ) 131072 z 5 / 2 - 15 ( 21 z 5 + 755 z 4 + 180 z 3 - 1020 z 2 + 55 z + 9 ) log ( z + 1 ) 131072 z 5 / 2 - 225 ( 5 z 3 + 18 z 2 + 6 z - 1 ) Li PolyLog 2 ( - z ) 16384 z 3 / 2 + 225 ( 5 z 3 + 18 z 2 + 6 z - 1 ) Li PolyLog 2 ( z ) 16384 z 3 / 2 HypergeometricPFQ -1 5 2 -1 3 2 2 5 2 7 2 z 315 z 4 20430 z 3 39938 z 2 2670 z 135 65536 z 2 -1 15 21 z 5 755 z 4 180 z 3 -1 1020 z 2 55 z 9 1 -1 z 1 2 131072 z 5 2 -1 -1 15 21 z 5 755 z 4 180 z 3 -1 1020 z 2 55 z 9 z 1 2 1 131072 z 5 2 -1 -1 225 5 z 3 18 z 2 6 z -1 PolyLog 2 -1 z 1 2 16384 z 3 2 -1 225 5 z 3 18 z 2 6 z -1 PolyLog 2 z 1 2 16384 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02