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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{3, 3, 7/2}, {-(3/2), -(3/2)}, z] == (1/(64 (-1 + z)^12)) (64 + 128 z + 122496 z^2 + 20457728 z^3 + 271733824 z^4 + 873373248 z^5 + 875718816 z^6 + 277924542 z^7 + 22915431 z^8 + 228858 z^9) + (315 (5376 z^(5/2) + 211584 z^(7/2) + 1482176 z^(9/2) + 3069600 z^(11/2) + 2149350 z^(13/2) + 489783 z^(15/2) + 28392 z^(17/2) + 168 z^(19/2)) ArcSin[Sqrt[z]])/(64 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 ( 3 , 3 , 7 2 ; - 3 2 , - 3 2 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox["3", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["3", 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[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["3", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["3", "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 64 ( z - 1 ) 12 ( 228858 z 9 + 22915431 z 8 + 277924542 z 7 + 875718816 z 6 + 873373248 z 5 + 271733824 z 4 + 20457728 z 3 + 122496 z 2 + 128 z + 64 ) + ( 315 ( 168 z 19 / 2 + 28392 z 17 / 2 + 489783 z 15 / 2 + 2149350 z 13 / 2 + 3069600 z 11 / 2 + 1482176 z 9 / 2 + 211584 z 7 / 2 + 5376 z 5 / 2 ) sin - 1 ( z ) ) / ( 64 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 3 3 7 2 -1 3 2 -1 3 2 z 1 64 z -1 12 -1 228858 z 9 22915431 z 8 277924542 z 7 875718816 z 6 873373248 z 5 271733824 z 4 20457728 z 3 122496 z 2 128 z 64 315 168 z 19 2 28392 z 17 2 489783 z 15 2 2149350 z 13 2 3069600 z 11 2 1482176 z 9 2 211584 z 7 2 5376 z 5 2 z 1 2 64 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