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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{-(3/4)}, {9/2, 5/4}, z] == (1/(169728 z^(7/2))) ((7 (-2025 + 2025 E^(4 Sqrt[z]) - 4050 Sqrt[z] - 4050 E^(4 Sqrt[z]) Sqrt[z] - 2520 z + 2520 E^(4 Sqrt[z]) z + 360 z^(3/2) + 360 E^(4 Sqrt[z]) z^(3/2) + 384 z^2 - 384 E^(4 Sqrt[z]) z^2 - 1152 z^(5/2) - 1152 E^(4 Sqrt[z]) z^(5/2) + 6144 z^3 - 6144 E^(4 Sqrt[z]) z^3 + 512 z^(7/2) + 512 E^(4 Sqrt[z]) z^(7/2) - 2048 z^4 + 2048 E^(4 Sqrt[z]) z^4 - 128 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(13/4) (-51 + 16 z) Erf[Sqrt[2] z^(1/4)] - 128 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(13/4) (-51 + 16 z) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( - 3 4 ; 9 2 , 5 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["3", "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["5", "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 169728 z 7 / 2 ( 7 - 2 z ( 2048 4 z z 4 - 2048 z 4 + 512 4 z z 7 / 2 + 512 z 7 / 2 - 128 2 z 2 π ( 16 z - 51 ) erf ( 2 z 4 ) z 13 / 4 - 128 2 z 2 π ( 16 z - 51 ) erfi ( 2 z 4 ) z 13 / 4 - 6144 4 z z 3 + 6144 z 3 - 1152 4 z z 5 / 2 - 1152 z 5 / 2 - 384 4 z z 2 + 384 z 2 + 360 4 z z 3 / 2 + 360 z 3 / 2 + 2520 4 z z - 2520 z - 4050 4 z z - 4050 z + 2025 4 z - 2025 ) ) HypergeometricPFQ -1 3 4 9 2 5 4 z 1 169728 z 7 2 -1 7 -2 z 1 2 2048 4 z 1 2 z 4 -1 2048 z 4 512 4 z 1 2 z 7 2 512 z 7 2 -1 128 2 z 1 2 2 1 2 16 z -51 Erf 2 1 2 z 1 4 z 13 4 -1 128 2 z 1 2 2 1 2 16 z -51 Erfi 2 1 2 z 1 4 z 13 4 -1 6144 4 z 1 2 z 3 6144 z 3 -1 1152 4 z 1 2 z 5 2 -1 1152 z 5 2 -1 384 4 z 1 2 z 2 384 z 2 360 4 z 1 2 z 3 2 360 z 3 2 2520 4 z 1 2 z -1 2520 z -1 4050 4 z 1 2 z 1 2 -1 4050 z 1 2 2025 4 z 1 2 -2025 [/itex]

 Rule Form

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

 2007-05-02