html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.a8fs.01

 Input Form

 HypergeometricPFQ[{-(13/4)}, {-(7/2), -(9/4)}, z] == (1/9450) ((4725 + 4725 E^(4 Sqrt[z]) + 9450 Sqrt[z] - 9450 E^(4 Sqrt[z]) Sqrt[z] + 7500 z + 7500 E^(4 Sqrt[z]) z + 2400 z^(3/2) - 2400 E^(4 Sqrt[z]) z^(3/2) - 48 z^2 - 48 E^(4 Sqrt[z]) z^2 + 64 z^(5/2) - 64 E^(4 Sqrt[z]) z^(5/2) - 256 z^3 - 256 E^(4 Sqrt[z]) z^3 - 256 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(13/4) Erf[Sqrt[2] z^(1/4)] + 256 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(13/4) 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["13", "4"]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["-", FractionBox["7", "2"]]], ",", RowBox[List["-", FractionBox["9", "4"]]]]], "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "9450"], RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "2"]], " ", SqrtBox["z"]]]], " ", RowBox[List["(", RowBox[List["4725", "+", RowBox[List["4725", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]]]], "+", RowBox[List["9450", " ", SqrtBox["z"]]], "-", RowBox[List["9450", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SqrtBox["z"]]], "+", RowBox[List["7500", " ", "z"]], "+", RowBox[List["7500", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", "z"]], "+", RowBox[List["2400", " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "-", RowBox[List["2400", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "-", RowBox[List["48", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["48", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["64", " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "-", RowBox[List["64", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "-", RowBox[List["256", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["256", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["256", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", SqrtBox["z"]]]], " ", SqrtBox[RowBox[List["2", " ", "\[Pi]"]]], " ", SuperscriptBox["z", RowBox[List["13", "/", "4"]]], " ", 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["13", "/", "4"]]], " ", RowBox[List["Erfi", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["z", RowBox[List["1", "/", "4"]]]]], "]"]]]]]], ")"]]]], ")"]]]]]]]]

 MathML Form

 1 F 2 ( - 13 4 ; - 7 2 , - 9 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["13", "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["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["9", "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 9450 ( - 2 z ( - 256 2 z 2 π erf ( 2 z 4 ) z 13 / 4 + 256 2 z 2 π erfi ( 2 z 4 ) z 13 / 4 - 256 4 z z 3 - 256 z 3 - 64 4 z z 5 / 2 + 64 z 5 / 2 - 48 4 z z 2 - 48 z 2 - 2400 4 z z 3 / 2 + 2400 z 3 / 2 + 7500 4 z z + 7500 z - 9450 4 z z + 9450 z + 4725 4 z + 4725 ) ) HypergeometricPFQ -1 13 4 -1 7 2 -1 9 4 z 1 9450 -2 z 1 2 -256 2 z 1 2 2 1 2 Erf 2 1 2 z 1 4 z 13 4 256 2 z 1 2 2 1 2 Erfi 2 1 2 z 1 4 z 13 4 -1 256 4 z 1 2 z 3 -1 256 z 3 -1 64 4 z 1 2 z 5 2 64 z 5 2 -1 48 4 z 1 2 z 2 -1 48 z 2 -1 2400 4 z 1 2 z 3 2 2400 z 3 2 7500 4 z 1 2 z 7500 z -1 9450 4 z 1 2 z 1 2 9450 z 1 2 4725 4 z 1 2 4725 [/itex]

 Rule Form

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

 2007-05-02