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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.7658.01

 Input Form

 HypergeometricPFQ[{6}, {-(23/4), -(17/4)}, z] == (1/225881530875) ((E^(2 Sqrt[z]) (225881530875 + 55459404000 z + 12573792000 z^2 + 3973939200 z^3 + 2601123840 z^4 + 11890851840 z^5 - 13978511360 z^6 - 452526080 z^7 - 524288 z^8) - 128 E^(4 Sqrt[z]) Sqrt[2 Pi] z^(21/4) (-36294225 + 72588450 Sqrt[z] + 58070760 z + 15123520 z^(3/2) + 1792000 z^2 + 98816 z^(5/2) + 2048 z^3) Erf[Sqrt[2] z^(1/4)] + 128 Sqrt[2 Pi] z^(21/4) (-36294225 - 72588450 Sqrt[z] + 58070760 z - 15123520 z^(3/2) + 1792000 z^2 - 98816 z^(5/2) + 2048 z^3) Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( 6 ; - 23 4 , - 17 4 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "1"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[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["23", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["17", "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 225881530875 ( - 2 z ( - 128 4 z 2 π ( 2048 z 3 + 98816 z 5 / 2 + 1792000 z 2 + 15123520 z 3 / 2 + 58070760 z + 72588450 z - 36294225 ) erf ( 2 z 4 ) z 21 / 4 + 128 2 π ( 2048 z 3 - 98816 z 5 / 2 + 1792000 z 2 - 15123520 z 3 / 2 + 58070760 z - 72588450 z - 36294225 ) erfi ( 2 z 4 ) z 21 / 4 + 2 z ( - 524288 z 8 - 452526080 z 7 - 13978511360 z 6 + 11890851840 z 5 + 2601123840 z 4 + 3973939200 z 3 + 12573792000 z 2 + 55459404000 z + 225881530875 ) ) ) HypergeometricPFQ 6 -1 23 4 -1 17 4 z 1 225881530875 -2 z 1 2 -128 4 z 1 2 2 1 2 2048 z 3 98816 z 5 2 1792000 z 2 15123520 z 3 2 58070760 z 72588450 z 1 2 -36294225 Erf 2 1 2 z 1 4 z 21 4 128 2 1 2 2048 z 3 -1 98816 z 5 2 1792000 z 2 -1 15123520 z 3 2 58070760 z -1 72588450 z 1 2 -36294225 Erfi 2 1 2 z 1 4 z 21 4 2 z 1 2 -524288 z 8 -1 452526080 z 7 -1 13978511360 z 6 11890851840 z 5 2601123840 z 4 3973939200 z 3 12573792000 z 2 55459404000 z 225881530875 [/itex]

 Rule Form

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

 2007-05-02