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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.ac4j.01

 Input Form

 HypergeometricPFQ[{3/4}, {-(1/2), 19/4}, z] == (1/(33554432 z^(15/4))) ((1155 (4 z^(1/4) (2297295 + 3063060 Sqrt[z] + 1860768 z + 614016 z^(3/2) + 97024 z^2 + 5120 z^(5/2) + E^(4 Sqrt[z]) (-2297295 + 3063060 Sqrt[z] - 1860768 z + 614016 z^(3/2) - 97024 z^2 + 5120 z^(5/2))) + 5 E^(2 Sqrt[z]) Sqrt[2 Pi] (-459459 + 117936 z - 20736 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] - 5 E^(2 Sqrt[z]) Sqrt[2 Pi] (-459459 + 117936 z - 20736 z^2 + 4096 z^3) Erfi[Sqrt[2] z^(1/4)]))/ E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( 3 4 ; - 1 2 , 19 4 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "1"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox[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[RowBox[List["-", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["19", "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 33554432 z 15 / 4 ( 1155 - 2 z ( 4 z 4 ( 5120 z 5 / 2 + 97024 z 2 + 614016 z 3 / 2 + 1860768 z + 3063060 z + 4 z ( 5120 z 5 / 2 - 97024 z 2 + 614016 z 3 / 2 - 1860768 z + 3063060 z - 2297295 ) + 2297295 ) + 5 2 z 2 π ( 4096 z 3 - 20736 z 2 + 117936 z - 459459 ) erf ( 2 z 4 ) - 5 2 z 2 π ( 4096 z 3 - 20736 z 2 + 117936 z - 459459 ) erfi ( 2 z 4 ) ) ) HypergeometricPFQ 3 4 -1 1 2 19 4 z 1 33554432 z 15 4 -1 1155 -2 z 1 2 4 z 1 4 5120 z 5 2 97024 z 2 614016 z 3 2 1860768 z 3063060 z 1 2 4 z 1 2 5120 z 5 2 -1 97024 z 2 614016 z 3 2 -1 1860768 z 3063060 z 1 2 -2297295 2297295 5 2 z 1 2 2 1 2 4096 z 3 -1 20736 z 2 117936 z -459459 Erf 2 1 2 z 1 4 -1 5 2 z 1 2 2 1 2 4096 z 3 -1 20736 z 2 117936 z -459459 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