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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.8438.01

 Input Form

 HypergeometricPFQ[{-(23/4)}, {9/2, -(11/4)}, z] == (118587803709375 - 118587803709375 E^(4 Sqrt[z]) + 237175607418750 Sqrt[z] + 237175607418750 E^(4 Sqrt[z]) Sqrt[z] + 166971627622800 z - 166971627622800 E^(4 Sqrt[z]) z + 17709112020600 z^(3/2) + 17709112020600 E^(4 Sqrt[z]) z^(3/2) - 24575910559200 z^2 + 24575910559200 E^(4 Sqrt[z]) z^2 + 11565134380800 z^(5/2) + 11565134380800 E^(4 Sqrt[z]) z^(5/2) - 4535346816000 z^3 + 4535346816000 E^(4 Sqrt[z]) z^3 + 1741075015680 z^(7/2) + 1741075015680 E^(4 Sqrt[z]) z^(7/2) - 704323952640 z^4 + 704323952640 E^(4 Sqrt[z]) z^4 + 316098478080 z^(9/2) + 316098478080 E^(4 Sqrt[z]) z^(9/2) - 165315870720 z^5 + 165315870720 E^(4 Sqrt[z]) z^5 + 106994073600 z^(11/2) + 106994073600 E^(4 Sqrt[z]) z^(11/2) - 93874814976 z^6 + 93874814976 E^(4 Sqrt[z]) z^6 + 133429198848 z^(13/2) + 133429198848 E^(4 Sqrt[z]) z^(13/2) - 554252107776 z^7 + 554252107776 E^(4 Sqrt[z]) z^7 - 7075790848 z^(15/2) - 7075790848 E^(4 Sqrt[z]) z^(15/2) + 28504489984 z^8 - 28504489984 E^(4 Sqrt[z]) z^8 + 67108864 z^(17/2) + 67108864 E^(4 Sqrt[z]) z^(17/2) - 268435456 z^9 + 268435456 E^(4 Sqrt[z]) z^9 - 1048576 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(29/4) (533577 - 27232 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] - 1048576 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(29/4) (533577 - 27232 z + 256 z^2) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(104121495878400 z^(7/2))

 Standard Form

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 MathML Form

 1 F 2 ( - 23 4 ; 9 2 , - 11 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["23", "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[RowBox[List["-", FractionBox["11", "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 104121495878400 z 7 / 2 ( - 2 z ( 268435456 4 z z 9 - 268435456 z 9 + 67108864 4 z z 17 / 2 + 67108864 z 17 / 2 - 28504489984 4 z z 8 + 28504489984 z 8 - 7075790848 4 z z 15 / 2 - 7075790848 z 15 / 2 - 1048576 2 z 2 π ( 256 z 2 - 27232 z + 533577 ) erf ( 2 z 4 ) z 29 / 4 - 1048576 2 z 2 π ( 256 z 2 - 27232 z + 533577 ) erfi ( 2 z 4 ) z 29 / 4 + 554252107776 4 z z 7 - 554252107776 z 7 + 133429198848 4 z z 13 / 2 + 133429198848 z 13 / 2 + 93874814976 4 z z 6 - 93874814976 z 6 + 106994073600 4 z z 11 / 2 + 106994073600 z 11 / 2 + 165315870720 4 z z 5 - 165315870720 z 5 + 316098478080 4 z z 9 / 2 + 316098478080 z 9 / 2 + 704323952640 4 z z 4 - 704323952640 z 4 + 1741075015680 4 z z 7 / 2 + 1741075015680 z 7 / 2 + 4535346816000 4 z z 3 - 4535346816000 z 3 + 11565134380800 4 z z 5 / 2 + 11565134380800 z 5 / 2 + 24575910559200 4 z z 2 - 24575910559200 z 2 + 17709112020600 4 z z 3 / 2 + 17709112020600 z 3 / 2 - 166971627622800 4 z z + 166971627622800 z + 237175607418750 4 z z + 237175607418750 z - 118587803709375 4 z + 118587803709375 ) ) HypergeometricPFQ -1 23 4 9 2 -1 11 4 z 1 104121495878400 z 7 2 -1 -2 z 1 2 268435456 4 z 1 2 z 9 -1 268435456 z 9 67108864 4 z 1 2 z 17 2 67108864 z 17 2 -1 28504489984 4 z 1 2 z 8 28504489984 z 8 -1 7075790848 4 z 1 2 z 15 2 -1 7075790848 z 15 2 -1 1048576 2 z 1 2 2 1 2 256 z 2 -1 27232 z 533577 Erf 2 1 2 z 1 4 z 29 4 -1 1048576 2 z 1 2 2 1 2 256 z 2 -1 27232 z 533577 Erfi 2 1 2 z 1 4 z 29 4 554252107776 4 z 1 2 z 7 -1 554252107776 z 7 133429198848 4 z 1 2 z 13 2 133429198848 z 13 2 93874814976 4 z 1 2 z 6 -1 93874814976 z 6 106994073600 4 z 1 2 z 11 2 106994073600 z 11 2 165315870720 4 z 1 2 z 5 -1 165315870720 z 5 316098478080 4 z 1 2 z 9 2 316098478080 z 9 2 704323952640 4 z 1 2 z 4 -1 704323952640 z 4 1741075015680 4 z 1 2 z 7 2 1741075015680 z 7 2 4535346816000 4 z 1 2 z 3 -1 4535346816000 z 3 11565134380800 4 z 1 2 z 5 2 11565134380800 z 5 2 24575910559200 4 z 1 2 z 2 -1 24575910559200 z 2 17709112020600 4 z 1 2 z 3 2 17709112020600 z 3 2 -1 166971627622800 4 z 1 2 z 166971627622800 z 237175607418750 4 z 1 2 z 1 2 237175607418750 z 1 2 -1 118587803709375 4 z 1 2 118587803709375 [/itex]

 Rule Form

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

 2007-05-02