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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{7/2, 4, 4}, {-(1/2), -(1/2)}, z] == (1/(256 (-1 + z)^12)) (256 + 54272 z + 11384448 z^2 + 186162944 z^3 + 743498272 z^4 + 948174048 z^5 + 402343851 z^6 + 49748496 z^7 + 1108548 z^8) + (315 (2688 z^(3/2) + 129024 z^(5/2) + 1105056 z^(7/2) + 2832800 z^(9/2) + 2523375 z^(11/2) + 773766 z^(13/2) + 68712 z^(15/2) + 1008 z^(17/2)) ArcSin[Sqrt[z]])/(256 Sqrt[1 - z] (1 - 12 z + 66 z^2 - 220 z^3 + 495 z^4 - 792 z^5 + 924 z^6 - 792 z^7 + 495 z^8 - 220 z^9 + 66 z^10 - 12 z^11 + z^12))

 Standard Form

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 MathML Form

 3 F 2 ( 7 2 , 4 , 4 ; - 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[FractionBox["7", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["4", 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[RowBox[List["-", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", 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] 1 256 ( z - 1 ) 12 ( 1108548 z 8 + 49748496 z 7 + 402343851 z 6 + 948174048 z 5 + 743498272 z 4 + 186162944 z 3 + 11384448 z 2 + 54272 z + 256 ) + ( 315 ( 1008 z 17 / 2 + 68712 z 15 / 2 + 773766 z 13 / 2 + 2523375 z 11 / 2 + 2832800 z 9 / 2 + 1105056 z 7 / 2 + 129024 z 5 / 2 + 2688 z 3 / 2 ) sin - 1 ( z ) ) / ( 256 1 - z ( z 12 - 12 z 11 + 66 z 10 - 220 z 9 + 495 z 8 - 792 z 7 + 924 z 6 - 792 z 5 + 495 z 4 - 220 z 3 + 66 z 2 - 12 z + 1 ) ) HypergeometricPFQ 7 2 4 4 -1 1 2 -1 1 2 z 1 256 z -1 12 -1 1108548 z 8 49748496 z 7 402343851 z 6 948174048 z 5 743498272 z 4 186162944 z 3 11384448 z 2 54272 z 256 315 1008 z 17 2 68712 z 15 2 773766 z 13 2 2523375 z 11 2 2832800 z 9 2 1105056 z 7 2 129024 z 5 2 2688 z 3 2 z 1 2 256 1 -1 z 1 2 z 12 -1 12 z 11 66 z 10 -1 220 z 9 495 z 8 -1 792 z 7 924 z 6 -1 792 z 5 495 z 4 -1 220 z 3 66 z 2 -1 12 z 1 -1 [/itex]

 Rule Form

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

 2007-05-02