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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.6539.01

 Input Form

 HypergeometricPFQ[{2}, {-(21/4), 17/4}, -z] == (1/(22848 z^(13/4))) (2 z^(1/4) (310134825 - 103783680 z + 15135120 z^2 - 757344 z^3 + 10496 z^4) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((-310134825 + 599999400 z - 166486320 z^2 + 14636160 z^3 - 426240 z^4 + 2048 z^5) Cos[2 Sqrt[z]] - 18 Sqrt[z] (34459425 - 20720700 z + 3123120 z^2 - 161920 z^3 + 2304 z^4) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (18 Sqrt[z] (34459425 - 20720700 z + 3123120 z^2 - 161920 z^3 + 2304 z^4) Cos[2 Sqrt[z]] + (-310134825 + 599999400 z - 166486320 z^2 + 14636160 z^3 - 426240 z^4 + 2048 z^5) Sin[2 Sqrt[z]]))

 Standard Form

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 MathML Form

 1 F 2 ( 2 ; - 21 4 , 17 4 ; - z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "1"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[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[RowBox[List["-", FractionBox["21", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["17", "4"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", "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 22848 z 13 / 4 ( 2 z 4 ( 10496 z 4 - 757344 z 3 + 15135120 z 2 - 103783680 z + 310134825 ) + π C TagBox["C", FresnelC] ( 2 z 4 π ) ( ( 2048 z 5 - 426240 z 4 + 14636160 z 3 - 166486320 z 2 + 599999400 z - 310134825 ) cos ( 2 z ) - 18 z ( 2304 z 4 - 161920 z 3 + 3123120 z 2 - 20720700 z + 34459425 ) sin ( 2 z ) ) + π S TagBox["S", FresnelS] ( 2 z 4 π ) ( 18 z ( 2304 z 4 - 161920 z 3 + 3123120 z 2 - 20720700 z + 34459425 ) cos ( 2 z ) + ( 2048 z 5 - 426240 z 4 + 14636160 z 3 - 166486320 z 2 + 599999400 z - 310134825 ) sin ( 2 z ) ) ) HypergeometricPFQ 2 -1 21 4 17 4 -1 z 1 22848 z 13 4 -1 2 z 1 4 10496 z 4 -1 757344 z 3 15135120 z 2 -1 103783680 z 310134825 1 2 FresnelC 2 z 1 4 1 2 -1 2048 z 5 -1 426240 z 4 14636160 z 3 -1 166486320 z 2 599999400 z -310134825 2 z 1 2 -1 18 z 1 2 2304 z 4 -1 161920 z 3 3123120 z 2 -1 20720700 z 34459425 2 z 1 2 1 2 FresnelS 2 z 1 4 1 2 -1 18 z 1 2 2304 z 4 -1 161920 z 3 3123120 z 2 -1 20720700 z 34459425 2 z 1 2 2048 z 5 -1 426240 z 4 14636160 z 3 -1 166486320 z 2 599999400 z -310134825 2 z 1 2 [/itex]

 Rule Form

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

 2007-05-02