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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.a8o0.01

 Input Form

 HypergeometricPFQ[{-(13/4)}, {5/2, -(1/4)}, z] == (1/(351120 z^(3/2))) ((12285 - 12285 E^(4 Sqrt[z]) + 24570 Sqrt[z] + 24570 E^(4 Sqrt[z]) Sqrt[z] - 42120 z + 42120 E^(4 Sqrt[z]) z + 58560 z^(3/2) + 58560 E^(4 Sqrt[z]) z^(3/2) - 107520 z^2 + 107520 E^(4 Sqrt[z]) z^2 + 511488 z^(5/2) + 511488 E^(4 Sqrt[z]) z^(5/2) + 30656 z^3 - 30656 E^(4 Sqrt[z]) z^3 - 125696 z^(7/2) - 125696 E^(4 Sqrt[z]) z^(7/2) - 1024 z^4 + 1024 E^(4 Sqrt[z]) z^4 + 4096 z^(9/2) + 4096 E^(4 Sqrt[z]) z^(9/2) + 16 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (33345 - 7904 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] - 16 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (33345 - 7904 z + 256 z^2) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( - 13 4 ; 5 2 , - 1 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["13", "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["5", "2"], 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["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 351120 z 3 / 2 ( - 2 z ( 4096 4 z z 9 / 2 + 4096 z 9 / 2 + 1024 4 z z 4 - 1024 z 4 - 125696 4 z z 7 / 2 - 125696 z 7 / 2 - 30656 4 z z 3 + 30656 z 3 + 16 2 z 2 π ( 256 z 2 - 7904 z + 33345 ) erf ( 2 z 4 ) z 11 / 4 - 16 2 z 2 π ( 256 z 2 - 7904 z + 33345 ) erfi ( 2 z 4 ) z 11 / 4 + 511488 4 z z 5 / 2 + 511488 z 5 / 2 + 107520 4 z z 2 - 107520 z 2 + 58560 4 z z 3 / 2 + 58560 z 3 / 2 + 42120 4 z z - 42120 z + 24570 4 z z + 24570 z - 12285 4 z + 12285 ) ) HypergeometricPFQ -1 13 4 5 2 -1 1 4 z 1 351120 z 3 2 -1 -2 z 1 2 4096 4 z 1 2 z 9 2 4096 z 9 2 1024 4 z 1 2 z 4 -1 1024 z 4 -1 125696 4 z 1 2 z 7 2 -1 125696 z 7 2 -1 30656 4 z 1 2 z 3 30656 z 3 16 2 z 1 2 2 1 2 256 z 2 -1 7904 z 33345 Erf 2 1 2 z 1 4 z 11 4 -1 16 2 z 1 2 2 1 2 256 z 2 -1 7904 z 33345 Erfi 2 1 2 z 1 4 z 11 4 511488 4 z 1 2 z 5 2 511488 z 5 2 107520 4 z 1 2 z 2 -1 107520 z 2 58560 4 z 1 2 z 3 2 58560 z 3 2 42120 4 z 1 2 z -1 42120 z 24570 4 z 1 2 z 1 2 24570 z 1 2 -1 12285 4 z 1 2 12285 [/itex]

 Rule Form

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

 2007-05-02