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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.8198.01

 Input Form

 HypergeometricPFQ[{-(23/4)}, {-(1/2), -(11/4)}, z] == (1/4594590) ((2297295 + 2297295 E^(4 Sqrt[z]) + 4594590 Sqrt[z] - 4594590 E^(4 Sqrt[z]) Sqrt[z] - 5012280 z - 5012280 E^(4 Sqrt[z]) z + 4038720 z^(3/2) - 4038720 E^(4 Sqrt[z]) z^(3/2) - 3379200 z^2 - 3379200 E^(4 Sqrt[z]) z^2 + 3488256 z^(5/2) - 3488256 E^(4 Sqrt[z]) z^(5/2) - 5490688 z^3 - 5490688 E^(4 Sqrt[z]) z^3 + 24150016 z^(7/2) - 24150016 E^(4 Sqrt[z]) z^(7/2) + 785408 z^4 + 785408 E^(4 Sqrt[z]) z^4 - 3190784 z^(9/2) + 3190784 E^(4 Sqrt[z]) z^(9/2) - 16384 z^5 - 16384 E^(4 Sqrt[z]) z^5 + 65536 z^(11/2) - 65536 E^(4 Sqrt[z]) z^(11/2) + 256 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (96577 - 12512 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] + 256 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(15/4) (96577 - 12512 z + 256 z^2) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List["-", FractionBox["23", "4"]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], ",", RowBox[List["-", FractionBox["11", "4"]]]]], "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "4594590"], RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "2"]], " ", SqrtBox["z"]]]], " ", RowBox[List["(", RowBox[List["2297295", "+", RowBox[List["2297295", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]]]], "+", RowBox[List["4594590", " ", SqrtBox["z"]]], "-", RowBox[List["4594590", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SqrtBox["z"]]], "-", RowBox[List["5012280", " ", "z"]], "-", RowBox[List["5012280", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", "z"]], "+", RowBox[List["4038720", " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "-", RowBox[List["4038720", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "-", RowBox[List["3379200", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["3379200", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["3488256", " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "-", RowBox[List["3488256", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "-", RowBox[List["5490688", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["5490688", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["24150016", " ", SuperscriptBox["z", RowBox[List["7", "/", "2"]]]]], "-", RowBox[List["24150016", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", RowBox[List["7", "/", "2"]]]]], "+", RowBox[List["785408", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["785408", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["3190784", " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]]]], "+", RowBox[List["3190784", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]]]], "-", RowBox[List["16384", " ", SuperscriptBox["z", "5"]]], "-", RowBox[List["16384", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", "5"]]], "+", RowBox[List["65536", " ", SuperscriptBox["z", RowBox[List["11", "/", "2"]]]]], "-", RowBox[List["65536", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", RowBox[List["11", "/", "2"]]]]], "+", RowBox[List["256", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", SqrtBox["z"]]]], " ", SqrtBox[RowBox[List["2", " ", "\[Pi]"]]], " ", SuperscriptBox["z", RowBox[List["15", "/", "4"]]], " ", RowBox[List["(", RowBox[List["96577", "-", RowBox[List["12512", " ", "z"]], "+", RowBox[List["256", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Erf", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["z", RowBox[List["1", "/", "4"]]]]], "]"]]]], "+", RowBox[List["256", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", SqrtBox["z"]]]], " ", SqrtBox[RowBox[List["2", " ", "\[Pi]"]]], " ", SuperscriptBox["z", RowBox[List["15", "/", "4"]]], " ", RowBox[List["(", RowBox[List["96577", "-", RowBox[List["12512", " ", "z"]], "+", RowBox[List["256", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Erfi", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["z", RowBox[List["1", "/", "4"]]]]], "]"]]]]]], ")"]]]], ")"]]]]]]]]

 MathML Form

 1 F 2 ( - 23 4 ; - 1 2 , - 11 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["23", "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[RowBox[List["-", FractionBox["11", "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 4594590 ( - 2 z ( - 65536 4 z z 11 / 2 + 65536 z 11 / 2 - 16384 4 z z 5 - 16384 z 5 + 3190784 4 z z 9 / 2 - 3190784 z 9 / 2 + 785408 4 z z 4 + 785408 z 4 + 256 2 z 2 π ( 256 z 2 - 12512 z + 96577 ) erf ( 2 z 4 ) z 15 / 4 + 256 2 z 2 π ( 256 z 2 - 12512 z + 96577 ) erfi ( 2 z 4 ) z 15 / 4 - 24150016 4 z z 7 / 2 + 24150016 z 7 / 2 - 5490688 4 z z 3 - 5490688 z 3 - 3488256 4 z z 5 / 2 + 3488256 z 5 / 2 - 3379200 4 z z 2 - 3379200 z 2 - 4038720 4 z z 3 / 2 + 4038720 z 3 / 2 - 5012280 4 z z - 5012280 z - 4594590 4 z z + 4594590 z + 2297295 4 z + 2297295 ) ) HypergeometricPFQ -1 23 4 -1 1 2 -1 11 4 z 1 4594590 -2 z 1 2 -65536 4 z 1 2 z 11 2 65536 z 11 2 -1 16384 4 z 1 2 z 5 -1 16384 z 5 3190784 4 z 1 2 z 9 2 -1 3190784 z 9 2 785408 4 z 1 2 z 4 785408 z 4 256 2 z 1 2 2 1 2 256 z 2 -1 12512 z 96577 Erf 2 1 2 z 1 4 z 15 4 256 2 z 1 2 2 1 2 256 z 2 -1 12512 z 96577 Erfi 2 1 2 z 1 4 z 15 4 -1 24150016 4 z 1 2 z 7 2 24150016 z 7 2 -1 5490688 4 z 1 2 z 3 -1 5490688 z 3 -1 3488256 4 z 1 2 z 5 2 3488256 z 5 2 -1 3379200 4 z 1 2 z 2 -1 3379200 z 2 -1 4038720 4 z 1 2 z 3 2 4038720 z 3 2 -1 5012280 4 z 1 2 z -1 5012280 z -1 4594590 4 z 1 2 z 1 2 4594590 z 1 2 2297295 4 z 1 2 2297295 [/itex]

 Rule Form

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

 2007-05-02