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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.aa0e.01

 Input Form

 HypergeometricPFQ[{-(7/4)}, {5/2, 13/4}, z] == (1/(13631488 z^(9/4))) ((-4 z^(1/4) (61425 - 262164 Sqrt[z] + 163632 z - 880320 z^(3/2) - 89344 z^2 + 369664 z^(5/2) + 4096 z^3 - 16384 z^(7/2) + E^(4 Sqrt[z]) (61425 + 262164 Sqrt[z] + 163632 z + 880320 z^(3/2) - 89344 z^2 - 369664 z^(5/2) + 4096 z^3 + 16384 z^(7/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (61425 + 786240 z + 3773952 z^2 - 1490944 z^3 + 65536 z^4) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (61425 + 786240 z + 3773952 z^2 - 1490944 z^3 + 65536 z^4) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( - 7 4 ; 5 2 , 13 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["7", "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[FractionBox["13", "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 13631488 z 9 / 4 ( - 2 z ( - 4 z 4 ( - 16384 z 7 / 2 + 4096 z 3 + 369664 z 5 / 2 - 89344 z 2 - 880320 z 3 / 2 + 163632 z - 262164 z + 4 z ( 16384 z 7 / 2 + 4096 z 3 - 369664 z 5 / 2 - 89344 z 2 + 880320 z 3 / 2 + 163632 z + 262164 z + 61425 ) + 61425 ) + 2 z 2 π ( 65536 z 4 - 1490944 z 3 + 3773952 z 2 + 786240 z + 61425 ) erf ( 2 z 4 ) + 2 z 2 π ( 65536 z 4 - 1490944 z 3 + 3773952 z 2 + 786240 z + 61425 ) erfi ( 2 z 4 ) ) ) HypergeometricPFQ -1 7 4 5 2 13 4 z 1 13631488 z 9 4 -1 -2 z 1 2 -4 z 1 4 -16384 z 7 2 4096 z 3 369664 z 5 2 -1 89344 z 2 -1 880320 z 3 2 163632 z -1 262164 z 1 2 4 z 1 2 16384 z 7 2 4096 z 3 -1 369664 z 5 2 -1 89344 z 2 880320 z 3 2 163632 z 262164 z 1 2 61425 61425 2 z 1 2 2 1 2 65536 z 4 -1 1490944 z 3 3773952 z 2 786240 z 61425 Erf 2 1 2 z 1 4 2 z 1 2 2 1 2 65536 z 4 -1 1490944 z 3 3773952 z 2 786240 z 61425 Erfi 2 1 2 z 1 4 [/itex]

 Rule Form

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

 2007-05-02