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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{7/2, 6}, {-(9/2), -(5/2)}, z] == (1/3189375) (3189375 + 5953500 z + 17860500 z^2 + 209563200 z^3 - 4086482400 z^4 + 81729648000 z^5 + 592251004800 z^6 + 1038371097600 z^7 + 788121653760 z^8 + 316250081280 z^9 + 73981756800 z^10 + 10616129280 z^11 + 954522480 z^12 + 53534976 z^13 + 1805568 z^14 + 33280 z^15 + 256 z^16) + (1/3189375) (8 E^z Sqrt[Pi] (26665329600 z^(11/2) + 114866035200 z^(13/2) + 166658310000 z^(15/2) + 114886144800 z^(17/2) + 43614282600 z^(19/2) + 9858978720 z^(21/2) + 1383591465 z^(23/2) + 122553450 z^(25/2) + 6802680 z^(27/2) + 227760 z^(29/2) + 4176 z^(31/2) + 32 z^(33/2)) Erf[Sqrt[z]])

 Standard Form

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 MathML Form

 2 F 2 ( 7 2 , 6 ; - 9 2 , - 5 2 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["7", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["6", 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["5", "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 3189375 ( 256 z 16 + 33280 z 15 + 1805568 z 14 + 53534976 z 13 + 954522480 z 12 + 10616129280 z 11 + 73981756800 z 10 + 316250081280 z 9 + 788121653760 z 8 + 1038371097600 z 7 + 592251004800 z 6 + 81729648000 z 5 - 4086482400 z 4 + 209563200 z 3 + 17860500 z 2 + 5953500 z + 3189375 ) + 1 3189375 ( 8 z π ( 32 z 33 / 2 + 4176 z 31 / 2 + 227760 z 29 / 2 + 6802680 z 27 / 2 + 122553450 z 25 / 2 + 1383591465 z 23 / 2 + 9858978720 z 21 / 2 + 43614282600 z 19 / 2 + 114886144800 z 17 / 2 + 166658310000 z 15 / 2 + 114866035200 z 13 / 2 + 26665329600 z 11 / 2 ) erf ( z ) ) HypergeometricPFQ 7 2 6 -1 9 2 -1 5 2 z 1 3189375 256 z 16 33280 z 15 1805568 z 14 53534976 z 13 954522480 z 12 10616129280 z 11 73981756800 z 10 316250081280 z 9 788121653760 z 8 1038371097600 z 7 592251004800 z 6 81729648000 z 5 -1 4086482400 z 4 209563200 z 3 17860500 z 2 5953500 z 3189375 1 3189375 8 z 1 2 32 z 33 2 4176 z 31 2 227760 z 29 2 6802680 z 27 2 122553450 z 25 2 1383591465 z 23 2 9858978720 z 21 2 43614282600 z 19 2 114886144800 z 17 2 166658310000 z 15 2 114866035200 z 13 2 26665329600 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