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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.7504.01

 Input Form

 HypergeometricPFQ[{5}, {-(11/4), 15/4}, z] == (1/(786432 z^(11/4))) ((-16 E^(2 Sqrt[z]) z^(3/4) (363825 + 189000 z + 29328 z^2 - 26752 z^3 + 2048 z^4) - E^(4 Sqrt[z]) Sqrt[2 Pi] (1091475 - 2182950 Sqrt[z] + 2438100 z - 1965600 z^(3/2) + 1360800 z^2 - 876960 z^(5/2) + 313920 z^3 + 138240 z^(7/2) - 202752 z^4 + 57344 z^(9/2) + 16384 z^5) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (1091475 + 2182950 Sqrt[z] + 2438100 z + 1965600 z^(3/2) + 1360800 z^2 + 876960 z^(5/2) + 313920 z^3 - 138240 z^(7/2) - 202752 z^4 - 57344 z^(9/2) + 16384 z^5) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( 5 ; - 11 4 , 15 4 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "1"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox["5", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["11", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["15", "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 786432 z 11 / 4 ( - 2 z ( - 16 2 z z 3 / 4 ( 2048 z 4 - 26752 z 3 + 29328 z 2 + 189000 z + 363825 ) - 4 z 2 π ( 16384 z 5 + 57344 z 9 / 2 - 202752 z 4 + 138240 z 7 / 2 + 313920 z 3 - 876960 z 5 / 2 + 1360800 z 2 - 1965600 z 3 / 2 + 2438100 z - 2182950 z + 1091475 ) erf ( 2 z 4 ) + 2 π ( 16384 z 5 - 57344 z 9 / 2 - 202752 z 4 - 138240 z 7 / 2 + 313920 z 3 + 876960 z 5 / 2 + 1360800 z 2 + 1965600 z 3 / 2 + 2438100 z + 2182950 z + 1091475 ) erfi ( 2 z 4 ) ) ) HypergeometricPFQ 5 -1 11 4 15 4 z 1 786432 z 11 4 -1 -2 z 1 2 -16 2 z 1 2 z 3 4 2048 z 4 -1 26752 z 3 29328 z 2 189000 z 363825 -1 4 z 1 2 2 1 2 16384 z 5 57344 z 9 2 -1 202752 z 4 138240 z 7 2 313920 z 3 -1 876960 z 5 2 1360800 z 2 -1 1965600 z 3 2 2438100 z -1 2182950 z 1 2 1091475 Erf 2 1 2 z 1 4 2 1 2 16384 z 5 -1 57344 z 9 2 -1 202752 z 4 -1 138240 z 7 2 313920 z 3 876960 z 5 2 1360800 z 2 1965600 z 3 2 2438100 z 2182950 z 1 2 1091475 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