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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.a7yi.01

 Input Form

 HypergeometricPFQ[{-(15/4)}, {-(9/2), -(7/4)}, z] == (1/13230) ((6615 + 6615 E^(4 Sqrt[z]) + 13230 Sqrt[z] - 13230 E^(4 Sqrt[z]) Sqrt[z] + 10080 z + 10080 E^(4 Sqrt[z]) z + 2520 z^(3/2) - 2520 E^(4 Sqrt[z]) z^(3/2) - 240 z^2 - 240 E^(4 Sqrt[z]) z^2 + 864 z^(5/2) - 864 E^(4 Sqrt[z]) z^(5/2) - 32 z^3 - 32 E^(4 Sqrt[z]) z^3 + 128 z^(7/2) - 128 E^(4 Sqrt[z]) z^(7/2) + 8 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (105 + 16 z) Erf[Sqrt[2] z^(1/4)] + 8 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (105 + 16 z) Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( - 15 4 ; - 9 2 , - 7 4 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "1"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox[RowBox[List["-", FractionBox["15", "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["9", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["7", "4"]]], 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 13230 ( - 2 z ( - 128 4 z z 7 / 2 + 128 z 7 / 2 - 32 4 z z 3 - 32 z 3 + 8 2 z 2 π ( 16 z + 105 ) erf ( 2 z 4 ) z 11 / 4 + 8 2 z 2 π ( 16 z + 105 ) erfi ( 2 z 4 ) z 11 / 4 - 864 4 z z 5 / 2 + 864 z 5 / 2 - 240 4 z z 2 - 240 z 2 - 2520 4 z z 3 / 2 + 2520 z 3 / 2 + 10080 4 z z + 10080 z - 13230 4 z z + 13230 z + 6615 4 z + 6615 ) ) HypergeometricPFQ -1 15 4 -1 9 2 -1 7 4 z 1 13230 -2 z 1 2 -128 4 z 1 2 z 7 2 128 z 7 2 -1 32 4 z 1 2 z 3 -1 32 z 3 8 2 z 1 2 2 1 2 16 z 105 Erf 2 1 2 z 1 4 z 11 4 8 2 z 1 2 2 1 2 16 z 105 Erfi 2 1 2 z 1 4 z 11 4 -1 864 4 z 1 2 z 5 2 864 z 5 2 -1 240 4 z 1 2 z 2 -1 240 z 2 -1 2520 4 z 1 2 z 3 2 2520 z 3 2 10080 4 z 1 2 z 10080 z -1 13230 4 z 1 2 z 1 2 13230 z 1 2 6615 4 z 1 2 6615 [/itex]

 Rule Form

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

 2007-05-02