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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{-(3/4)}, {9/2, 21/4}, z] == -((1/(268435456 z^(17/4))) ((7 (-4 z^(1/4) (-17453475 + 35711100 Sqrt[z] - 8058240 z + 21415680 z^(3/2) - 2434560 z^2 + 7464960 z^(5/2) - 983040 z^3 + 4128768 z^(7/2) + 65536 z^4 - 262144 z^(9/2) + E^(4 Sqrt[z]) (-17453475 - 35711100 Sqrt[z] - 8058240 z - 21415680 z^(3/2) - 2434560 z^2 - 7464960 z^(5/2) - 983040 z^3 - 4128768 z^(7/2) + 65536 z^4 + 262144 z^(9/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-17453475 - 107406000 z - 76377600 z^2 - 27156480 z^3 - 16711680 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (-17453475 - 107406000 z - 76377600 z^2 - 27156480 z^3 - 16711680 z^4 + 1048576 z^5) 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 , 21 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["21", "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 268435456 z 17 / 4 ( 7 - 2 z ( - 4 z 4 ( - 262144 z 9 / 2 + 65536 z 4 + 4128768 z 7 / 2 - 983040 z 3 + 7464960 z 5 / 2 - 2434560 z 2 + 21415680 z 3 / 2 - 8058240 z + 35711100 z + 4 z ( 262144 z 9 / 2 + 65536 z 4 - 4128768 z 7 / 2 - 983040 z 3 - 7464960 z 5 / 2 - 2434560 z 2 - 21415680 z 3 / 2 - 8058240 z - 35711100 z - 17453475 ) - 17453475 ) + 2 z 2 π ( 1048576 z 5 - 16711680 z 4 - 27156480 z 3 - 76377600 z 2 - 107406000 z - 17453475 ) erf ( 2 z 4 ) + 2 z 2 π ( 1048576 z 5 - 16711680 z 4 - 27156480 z 3 - 76377600 z 2 - 107406000 z - 17453475 ) erfi ( 2 z 4 ) ) ) HypergeometricPFQ -1 3 4 9 2 21 4 z -1 1 268435456 z 17 4 -1 7 -2 z 1 2 -4 z 1 4 -262144 z 9 2 65536 z 4 4128768 z 7 2 -1 983040 z 3 7464960 z 5 2 -1 2434560 z 2 21415680 z 3 2 -1 8058240 z 35711100 z 1 2 4 z 1 2 262144 z 9 2 65536 z 4 -1 4128768 z 7 2 -1 983040 z 3 -1 7464960 z 5 2 -1 2434560 z 2 -1 21415680 z 3 2 -1 8058240 z -1 35711100 z 1 2 -17453475 -17453475 2 z 1 2 2 1 2 1048576 z 5 -1 16711680 z 4 -1 27156480 z 3 -1 76377600 z 2 -1 107406000 z -17453475 Erf 2 1 2 z 1 4 2 z 1 2 2 1 2 1048576 z 5 -1 16711680 z 4 -1 27156480 z 3 -1 76377600 z 2 -1 107406000 z -17453475 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