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 HypergeometricPFQ

 http://functions.wolfram.com/07.25.03.akbt.01

 Input Form

 HypergeometricPFQ[{3, 9/2}, {-(9/2), -(9/2)}, z] == (1/93767625) (93767625 + 62511750 z + 56133000 z^2 + 97297200 z^3 + 486486000 z^4 + 23156733600 z^5 + 883434988800 z^6 + 3346051161600 z^7 + 4223045756160 z^8 + 2476430323200 z^9 + 783842826240 z^10 + 144602173440 z^11 + 16117248000 z^12 + 1090461696 z^13 + 43438080 z^14 + 929792 z^15 + 8192 z^16) + (1/93767625) (2048 E^z Sqrt[Pi] (70761600 z^(11/2) + 854582400 z^(13/2) + 2333318400 z^(15/2) + 2536531200 z^(17/2) + 1373047200 z^(19/2) + 414681120 z^(21/2) + 74299680 z^(23/2) + 8125920 z^(25/2) + 542835 z^(27/2) + 21435 z^(29/2) + 456 z^(31/2) + 4 z^(33/2)) Erf[Sqrt[z]])

 Standard Form

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 MathML Form

 2 F 2 ( 3 , 9 2 ; - 9 2 , - 9 2 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox["3", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["9", "2"], 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["9", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["9", "2"]]], 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 93767625 ( 8192 z 16 + 929792 z 15 + 43438080 z 14 + 1090461696 z 13 + 16117248000 z 12 + 144602173440 z 11 + 783842826240 z 10 + 2476430323200 z 9 + 4223045756160 z 8 + 3346051161600 z 7 + 883434988800 z 6 + 23156733600 z 5 + 486486000 z 4 + 97297200 z 3 + 56133000 z 2 + 62511750 z + 93767625 ) + 1 93767625 ( 2048 z π ( 4 z 33 / 2 + 456 z 31 / 2 + 21435 z 29 / 2 + 542835 z 27 / 2 + 8125920 z 25 / 2 + 74299680 z 23 / 2 + 414681120 z 21 / 2 + 1373047200 z 19 / 2 + 2536531200 z 17 / 2 + 2333318400 z 15 / 2 + 854582400 z 13 / 2 + 70761600 z 11 / 2 ) erf ( z ) ) HypergeometricPFQ 3 9 2 -1 9 2 -1 9 2 z 1 93767625 8192 z 16 929792 z 15 43438080 z 14 1090461696 z 13 16117248000 z 12 144602173440 z 11 783842826240 z 10 2476430323200 z 9 4223045756160 z 8 3346051161600 z 7 883434988800 z 6 23156733600 z 5 486486000 z 4 97297200 z 3 56133000 z 2 62511750 z 93767625 1 93767625 2048 z 1 2 4 z 33 2 456 z 31 2 21435 z 29 2 542835 z 27 2 8125920 z 25 2 74299680 z 23 2 414681120 z 21 2 1373047200 z 19 2 2536531200 z 17 2 2333318400 z 15 2 854582400 z 13 2 70761600 z 11 2 Erf z 1 2 [/itex]

 Rule Form

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

 2007-05-02