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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{19/4}, {1/2, 23/4}, z] == (1/(2097152 z^(19/4))) ((19 (4 z^(1/4) (-34459425 - 45945900 Sqrt[z] - 36756720 z - 21003840 z^(3/2) - 9335040 z^2 - 3394560 z^(5/2) - 1044480 z^3 - 278528 z^(7/2) - 65536 z^4 + E^(4 Sqrt[z]) (34459425 - 45945900 Sqrt[z] + 36756720 z - 21003840 z^(3/2) + 9335040 z^2 - 3394560 z^(5/2) + 1044480 z^3 - 278528 z^(7/2) + 65536 z^4)) + 34459425 E^(2 Sqrt[z]) Sqrt[2 Pi] Erf[Sqrt[2] z^(1/4)] - 34459425 E^(2 Sqrt[z]) Sqrt[2 Pi] Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z]))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", FractionBox["19", "4"], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["1", "2"], ",", FractionBox["23", "4"]]], "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", RowBox[List["2097152", " ", SuperscriptBox["z", RowBox[List["19", "/", "4"]]]]]], RowBox[List["(", RowBox[List["19", " ", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "2"]], " ", SqrtBox["z"]]]], " ", RowBox[List["(", RowBox[List[RowBox[List["4", " ", SuperscriptBox["z", RowBox[List["1", "/", "4"]]], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "34459425"]], "-", RowBox[List["45945900", " ", SqrtBox["z"]]], "-", RowBox[List["36756720", " ", "z"]], "-", RowBox[List["21003840", " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "-", RowBox[List["9335040", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["3394560", " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "-", RowBox[List["1044480", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["278528", " ", SuperscriptBox["z", RowBox[List["7", "/", "2"]]]]], "-", RowBox[List["65536", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["4", " ", SqrtBox["z"]]]], " ", RowBox[List["(", RowBox[List["34459425", "-", RowBox[List["45945900", " ", SqrtBox["z"]]], "+", RowBox[List["36756720", " ", "z"]], "-", RowBox[List["21003840", " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "+", RowBox[List["9335040", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["3394560", " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "+", RowBox[List["1044480", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["278528", " ", SuperscriptBox["z", RowBox[List["7", "/", "2"]]]]], "+", RowBox[List["65536", " ", SuperscriptBox["z", "4"]]]]], ")"]]]]]], ")"]]]], "+", RowBox[List["34459425", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", SqrtBox["z"]]]], " ", SqrtBox[RowBox[List["2", " ", "\[Pi]"]]], " ", RowBox[List["Erf", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["z", RowBox[List["1", "/", "4"]]]]], "]"]]]], "-", RowBox[List["34459425", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", SqrtBox["z"]]]], " ", SqrtBox[RowBox[List["2", " ", "\[Pi]"]]], " ", RowBox[List["Erfi", "[", RowBox[List[SqrtBox["2"], " ", SuperscriptBox["z", RowBox[List["1", "/", "4"]]]]], "]"]]]]]], ")"]]]], ")"]]]]]]]]

 MathML Form

 1 F 2 ( 19 4 ; 1 2 , 23 4 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "1"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox[FractionBox["19", "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[FractionBox["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["23", "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 2097152 z 19 / 4 ( 19 - 2 z ( 4 z 4 ( - 65536 z 4 - 278528 z 7 / 2 - 1044480 z 3 - 3394560 z 5 / 2 - 9335040 z 2 - 21003840 z 3 / 2 - 36756720 z - 45945900 z + 4 z ( 65536 z 4 - 278528 z 7 / 2 + 1044480 z 3 - 3394560 z 5 / 2 + 9335040 z 2 - 21003840 z 3 / 2 + 36756720 z - 45945900 z + 34459425 ) - 34459425 ) + 34459425 2 z 2 π erf ( 2 z 4 ) - 34459425 2 z 2 π erfi ( 2 z 4 ) ) ) HypergeometricPFQ 19 4 1 2 23 4 z 1 2097152 z 19 4 -1 19 -2 z 1 2 4 z 1 4 -65536 z 4 -1 278528 z 7 2 -1 1044480 z 3 -1 3394560 z 5 2 -1 9335040 z 2 -1 21003840 z 3 2 -1 36756720 z -1 45945900 z 1 2 4 z 1 2 65536 z 4 -1 278528 z 7 2 1044480 z 3 -1 3394560 z 5 2 9335040 z 2 -1 21003840 z 3 2 36756720 z -1 45945900 z 1 2 34459425 -34459425 34459425 2 z 1 2 2 1 2 Erf 2 1 2 z 1 4 -1 34459425 2 z 1 2 2 1 2 Erfi 2 1 2 z 1 4 [/itex]

 Rule Form

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

 2007-05-02