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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.7377.01

 Input Form

 HypergeometricPFQ[{5}, {-(23/4), -(1/4)}, -z] == (1/9085230) (6 (1514205 - 5266800 z + 4336290 z^2 + 1331400 z^3 + 80416 z^4 + 13824 z^5) - Sqrt[Pi] z^(5/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-(-39471705 + 54578160 z + 14651280 z^2 + 784896 z^3 + 167936 z^4)) Cos[2 Sqrt[z]] + 2 Sqrt[z] (39471705 - 1949220 z - 3215856 z^2 - 419328 z^3 + 4096 z^4) Sin[2 Sqrt[z]]) - Sqrt[Pi] z^(5/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (39471705 - 1949220 z - 3215856 z^2 - 419328 z^3 + 4096 z^4) Cos[2 Sqrt[z]] + (-39471705 + 54578160 z + 14651280 z^2 + 784896 z^3 + 167936 z^4) Sin[2 Sqrt[z]]))

 Standard Form

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 MathML Form

 1 F 2 ( 5 ; - 23 4 , - 1 4 ; - z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "1"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox["5", 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["23", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["1", "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 9085230 ( - π S TagBox["S", FresnelS] ( 2 z 4 π ) ( 2 z ( 4096 z 4 - 419328 z 3 - 3215856 z 2 - 1949220 z + 39471705 ) sin ( 2 z ) - ( 167936 z 4 + 784896 z 3 + 14651280 z 2 + 54578160 z - 39471705 ) cos ( 2 z ) ) z 5 / 4 - π C TagBox["C", FresnelC] ( 2 z 4 π ) ( 2 z ( 4096 z 4 - 419328 z 3 - 3215856 z 2 - 1949220 z + 39471705 ) cos ( 2 z ) + ( 167936 z 4 + 784896 z 3 + 14651280 z 2 + 54578160 z - 39471705 ) sin ( 2 z ) ) z 5 / 4 + 6 ( 13824 z 5 + 80416 z 4 + 1331400 z 3 + 4336290 z 2 - 5266800 z + 1514205 ) ) HypergeometricPFQ 5 -1 23 4 -1 1 4 -1 z 1 9085230 -1 1 2 FresnelS 2 z 1 4 1 2 -1 2 z 1 2 4096 z 4 -1 419328 z 3 -1 3215856 z 2 -1 1949220 z 39471705 2 z 1 2 -1 167936 z 4 784896 z 3 14651280 z 2 54578160 z -39471705 2 z 1 2 z 5 4 -1 1 2 FresnelC 2 z 1 4 1 2 -1 2 z 1 2 4096 z 4 -1 419328 z 3 -1 3215856 z 2 -1 1949220 z 39471705 2 z 1 2 167936 z 4 784896 z 3 14651280 z 2 54578160 z -39471705 2 z 1 2 z 5 4 6 13824 z 5 80416 z 4 1331400 z 3 4336290 z 2 -1 5266800 z 1514205 [/itex]

 Rule Form

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

 2007-05-02