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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{-(1/4)}, {9/2, 7/4}, z] == (1/(2816 z^(7/2))) ((-315 + 315 E^(4 Sqrt[z]) - 630 Sqrt[z] - 630 E^(4 Sqrt[z]) Sqrt[z] - 360 z + 360 E^(4 Sqrt[z]) z + 120 z^(3/2) + 120 E^(4 Sqrt[z]) z^(3/2) - 384 z^(5/2) - 384 E^(4 Sqrt[z]) z^(5/2) - 128 z^3 + 128 E^(4 Sqrt[z]) z^3 + 512 z^(7/2) + 512 E^(4 Sqrt[z]) z^(7/2) + 32 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (-15 + 16 z) Erf[Sqrt[2] z^(1/4)] - 32 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (-15 + 16 z) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( - 1 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["1", "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[FractionBox["9", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[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 2816 z 7 / 2 ( - 2 z ( 512 4 z z 7 / 2 + 512 z 7 / 2 + 128 4 z z 3 - 128 z 3 + 32 2 z 2 π ( 16 z - 15 ) erf ( 2 z 4 ) z 11 / 4 - 32 2 z 2 π ( 16 z - 15 ) erfi ( 2 z 4 ) z 11 / 4 - 384 4 z z 5 / 2 - 384 z 5 / 2 + 120 4 z z 3 / 2 + 120 z 3 / 2 + 360 4 z z - 360 z - 630 4 z z - 630 z + 315 4 z - 315 ) ) HypergeometricPFQ -1 1 4 9 2 7 4 z 1 2816 z 7 2 -1 -2 z 1 2 512 4 z 1 2 z 7 2 512 z 7 2 128 4 z 1 2 z 3 -1 128 z 3 32 2 z 1 2 2 1 2 16 z -15 Erf 2 1 2 z 1 4 z 11 4 -1 32 2 z 1 2 2 1 2 16 z -15 Erfi 2 1 2 z 1 4 z 11 4 -1 384 4 z 1 2 z 5 2 -1 384 z 5 2 120 4 z 1 2 z 3 2 120 z 3 2 360 4 z 1 2 z -1 360 z -1 630 4 z 1 2 z 1 2 -1 630 z 1 2 315 4 z 1 2 -315 [/itex]

 Rule Form

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

 2007-05-02