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 HypergeometricPFQ

 http://functions.wolfram.com/07.22.03.ac0f.01

 Input Form

 HypergeometricPFQ[{3/4}, {-(7/2), 15/4}, z] == (1/(20971520 z^(11/4))) ((11 (4 z^(1/4) (-109643625 - 146191500 Sqrt[z] - 96904080 z - 40098240 z^(3/2) - 10862592 z^2 - 1736704 z^(5/2) - 131072 z^3 + E^(4 Sqrt[z]) (109643625 - 146191500 Sqrt[z] + 96904080 z - 40098240 z^(3/2) + 10862592 z^2 - 1736704 z^(5/2) + 131072 z^3)) + 9945 E^(2 Sqrt[z]) Sqrt[2 Pi] (11025 - 2016 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] - 9945 E^(2 Sqrt[z]) Sqrt[2 Pi] (11025 - 2016 z + 256 z^2) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z]))

 Standard Form

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 MathML Form

 1 F 2 ( 3 4 ; - 7 2 , 15 4 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "1"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[TagBox[FractionBox["3", "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[FractionBox["15", "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 20971520 z 11 / 4 ( 11 - 2 z ( 4 z 4 ( - 131072 z 3 - 1736704 z 5 / 2 - 10862592 z 2 - 40098240 z 3 / 2 - 96904080 z - 146191500 z + 4 z ( 131072 z 3 - 1736704 z 5 / 2 + 10862592 z 2 - 40098240 z 3 / 2 + 96904080 z - 146191500 z + 109643625 ) - 109643625 ) + 9945 2 z 2 π ( 256 z 2 - 2016 z + 11025 ) erf ( 2 z 4 ) - 9945 2 z 2 π ( 256 z 2 - 2016 z + 11025 ) erfi ( 2 z 4 ) ) ) HypergeometricPFQ 3 4 -1 7 2 15 4 z 1 20971520 z 11 4 -1 11 -2 z 1 2 4 z 1 4 -131072 z 3 -1 1736704 z 5 2 -1 10862592 z 2 -1 40098240 z 3 2 -1 96904080 z -1 146191500 z 1 2 4 z 1 2 131072 z 3 -1 1736704 z 5 2 10862592 z 2 -1 40098240 z 3 2 96904080 z -1 146191500 z 1 2 109643625 -109643625 9945 2 z 1 2 2 1 2 256 z 2 -1 2016 z 11025 Erf 2 1 2 z 1 4 -1 9945 2 z 1 2 2 1 2 256 z 2 -1 2016 z 11025 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