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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.a9o0.01

 Input Form

 HypergeometricPFQ[{-(9/4)}, {11/2, -(1/4)}, z] == (1/(44301312 z^(9/2))) ((-311070375 + 311070375 E^(4 Sqrt[z]) - 622140750 Sqrt[z] - 622140750 E^(4 Sqrt[z]) Sqrt[z] - 495841500 z + 495841500 E^(4 Sqrt[z]) z - 162162000 z^(3/2) - 162162000 E^(4 Sqrt[z]) z^(3/2) + 6486480 z^2 - 6486480 E^(4 Sqrt[z]) z^2 + 7983360 z^(5/2) + 7983360 E^(4 Sqrt[z]) z^(5/2) - 6048000 z^3 + 6048000 E^(4 Sqrt[z]) z^3 + 3870720 z^(7/2) + 3870720 E^(4 Sqrt[z]) z^(7/2) - 2764800 z^4 + 2764800 E^(4 Sqrt[z]) z^4 + 2555904 z^(9/2) + 2555904 E^(4 Sqrt[z]) z^(9/2) - 3735552 z^5 + 3735552 E^(4 Sqrt[z]) z^5 + 15728640 z^(11/2) + 15728640 E^(4 Sqrt[z]) z^(11/2) + 262144 z^6 - 262144 E^(4 Sqrt[z]) z^6 - 1048576 z^(13/2) - 1048576 E^(4 Sqrt[z]) z^(13/2) - 65536 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(23/4) (-243 + 16 z) Erf[Sqrt[2] z^(1/4)] + 65536 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(23/4) (-243 + 16 z) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( - 9 4 ; 11 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["9", "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["11", "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 44301312 z 9 / 2 ( - 2 z ( - 1048576 4 z z 13 / 2 - 1048576 z 13 / 2 - 262144 4 z z 6 + 262144 z 6 - 65536 2 z 2 π ( 16 z - 243 ) erf ( 2 z 4 ) z 23 / 4 + 65536 2 z 2 π ( 16 z - 243 ) erfi ( 2 z 4 ) z 23 / 4 + 15728640 4 z z 11 / 2 + 15728640 z 11 / 2 + 3735552 4 z z 5 - 3735552 z 5 + 2555904 4 z z 9 / 2 + 2555904 z 9 / 2 + 2764800 4 z z 4 - 2764800 z 4 + 3870720 4 z z 7 / 2 + 3870720 z 7 / 2 + 6048000 4 z z 3 - 6048000 z 3 + 7983360 4 z z 5 / 2 + 7983360 z 5 / 2 - 6486480 4 z z 2 + 6486480 z 2 - 162162000 4 z z 3 / 2 - 162162000 z 3 / 2 + 495841500 4 z z - 495841500 z - 622140750 4 z z - 622140750 z + 311070375 4 z - 311070375 ) ) HypergeometricPFQ -1 9 4 11 2 -1 1 4 z 1 44301312 z 9 2 -1 -2 z 1 2 -1048576 4 z 1 2 z 13 2 -1 1048576 z 13 2 -1 262144 4 z 1 2 z 6 262144 z 6 -1 65536 2 z 1 2 2 1 2 16 z -243 Erf 2 1 2 z 1 4 z 23 4 65536 2 z 1 2 2 1 2 16 z -243 Erfi 2 1 2 z 1 4 z 23 4 15728640 4 z 1 2 z 11 2 15728640 z 11 2 3735552 4 z 1 2 z 5 -1 3735552 z 5 2555904 4 z 1 2 z 9 2 2555904 z 9 2 2764800 4 z 1 2 z 4 -1 2764800 z 4 3870720 4 z 1 2 z 7 2 3870720 z 7 2 6048000 4 z 1 2 z 3 -1 6048000 z 3 7983360 4 z 1 2 z 5 2 7983360 z 5 2 -1 6486480 4 z 1 2 z 2 6486480 z 2 -1 162162000 4 z 1 2 z 3 2 -1 162162000 z 3 2 495841500 4 z 1 2 z -1 495841500 z -1 622140750 4 z 1 2 z 1 2 -1 622140750 z 1 2 311070375 4 z 1 2 -311070375 [/itex]

 Rule Form

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

 2007-05-02