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/07.22.03.8490.01

 Input Form

 HypergeometricPFQ[{-(23/4)}, {11/2, -(7/4)}, z] == (-2490343877896875 + 2490343877896875 E^(4 Sqrt[z]) - 4980687755793750 Sqrt[z] - 4980687755793750 E^(4 Sqrt[z]) Sqrt[z] - 3813783767293500 z + 3813783767293500 E^(4 Sqrt[z]) z - 986650526862000 z^(3/2) - 986650526862000 E^(4 Sqrt[z]) z^(3/2) + 262383986264400 z^2 - 262383986264400 E^(4 Sqrt[z]) z^2 + 69390806284800 z^(5/2) + 69390806284800 E^(4 Sqrt[z]) z^(5/2) - 88439262912000 z^3 + 88439262912000 E^(4 Sqrt[z]) z^3 + 54424161792000 z^(7/2) + 54424161792000 E^(4 Sqrt[z]) z^(7/2) - 29305317888000 z^4 + 29305317888000 E^(4 Sqrt[z]) z^4 + 16010660413440 z^(9/2) + 16010660413440 E^(4 Sqrt[z]) z^(9/2) - 9657353502720 z^5 + 9657353502720 E^(4 Sqrt[z]) z^5 + 6944115916800 z^(11/2) + 6944115916800 E^(4 Sqrt[z]) z^(11/2) - 6578236293120 z^6 + 6578236293120 E^(4 Sqrt[z]) z^6 + 9858459893760 z^(13/2) + 9858459893760 E^(4 Sqrt[z]) z^(13/2) - 42266806714368 z^7 + 42266806714368 E^(4 Sqrt[z]) z^7 - 1020944449536 z^(15/2) - 1020944449536 E^(4 Sqrt[z]) z^(15/2) + 4153210306560 z^8 - 4153210306560 E^(4 Sqrt[z]) z^8 + 23605542912 z^(17/2) + 23605542912 E^(4 Sqrt[z]) z^(17/2) - 94824824832 z^9 + 94824824832 E^(4 Sqrt[z]) z^9 - 134217728 z^(19/2) - 134217728 E^(4 Sqrt[z]) z^(19/2) + 536870912 z^10 - 536870912 E^(4 Sqrt[z]) z^10 + 131072 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(29/4) (-328149855 + 31820592 z - 724224 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] + 131072 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(29/4) (-328149855 + 31820592 z - 724224 z^2 + 4096 z^3) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/ (517452282547200 z^(9/2))

 Standard Form

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 MathML Form

 1 F 2 ( - 23 4 ; 11 2 , - 7 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[FractionBox["11", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["7", "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 517452282547200 z 9 / 2 ( - 2 z ( - 536870912 4 z z 10 + 536870912 z 10 - 134217728 4 z z 19 / 2 - 134217728 z 19 / 2 + 94824824832 4 z z 9 - 94824824832 z 9 + 23605542912 4 z z 17 / 2 + 23605542912 z 17 / 2 - 4153210306560 4 z z 8 + 4153210306560 z 8 - 1020944449536 4 z z 15 / 2 - 1020944449536 z 15 / 2 + 131072 2 z 2 π ( 4096 z 3 - 724224 z 2 + 31820592 z - 328149855 ) erf ( 2 z 4 ) z 29 / 4 + 131072 2 z 2 π ( 4096 z 3 - 724224 z 2 + 31820592 z - 328149855 ) erfi ( 2 z 4 ) z 29 / 4 + 42266806714368 4 z z 7 - 42266806714368 z 7 + 9858459893760 4 z z 13 / 2 + 9858459893760 z 13 / 2 + 6578236293120 4 z z 6 - 6578236293120 z 6 + 6944115916800 4 z z 11 / 2 + 6944115916800 z 11 / 2 + 9657353502720 4 z z 5 - 9657353502720 z 5 + 16010660413440 4 z z 9 / 2 + 16010660413440 z 9 / 2 + 29305317888000 4 z z 4 - 29305317888000 z 4 + 54424161792000 4 z z 7 / 2 + 54424161792000 z 7 / 2 + 88439262912000 4 z z 3 - 88439262912000 z 3 + 69390806284800 4 z z 5 / 2 + 69390806284800 z 5 / 2 - 262383986264400 4 z z 2 + 262383986264400 z 2 - 986650526862000 4 z z 3 / 2 - 986650526862000 z 3 / 2 + 3813783767293500 4 z z - 3813783767293500 z - 4980687755793750 4 z z - 4980687755793750 z + 2490343877896875 4 z - 2490343877896875 ) ) HypergeometricPFQ -1 23 4 11 2 -1 7 4 z 1 517452282547200 z 9 2 -1 -2 z 1 2 -536870912 4 z 1 2 z 10 536870912 z 10 -1 134217728 4 z 1 2 z 19 2 -1 134217728 z 19 2 94824824832 4 z 1 2 z 9 -1 94824824832 z 9 23605542912 4 z 1 2 z 17 2 23605542912 z 17 2 -1 4153210306560 4 z 1 2 z 8 4153210306560 z 8 -1 1020944449536 4 z 1 2 z 15 2 -1 1020944449536 z 15 2 131072 2 z 1 2 2 1 2 4096 z 3 -1 724224 z 2 31820592 z -328149855 Erf 2 1 2 z 1 4 z 29 4 131072 2 z 1 2 2 1 2 4096 z 3 -1 724224 z 2 31820592 z -328149855 Erfi 2 1 2 z 1 4 z 29 4 42266806714368 4 z 1 2 z 7 -1 42266806714368 z 7 9858459893760 4 z 1 2 z 13 2 9858459893760 z 13 2 6578236293120 4 z 1 2 z 6 -1 6578236293120 z 6 6944115916800 4 z 1 2 z 11 2 6944115916800 z 11 2 9657353502720 4 z 1 2 z 5 -1 9657353502720 z 5 16010660413440 4 z 1 2 z 9 2 16010660413440 z 9 2 29305317888000 4 z 1 2 z 4 -1 29305317888000 z 4 54424161792000 4 z 1 2 z 7 2 54424161792000 z 7 2 88439262912000 4 z 1 2 z 3 -1 88439262912000 z 3 69390806284800 4 z 1 2 z 5 2 69390806284800 z 5 2 -1 262383986264400 4 z 1 2 z 2 262383986264400 z 2 -1 986650526862000 4 z 1 2 z 3 2 -1 986650526862000 z 3 2 3813783767293500 4 z 1 2 z -1 3813783767293500 z -1 4980687755793750 4 z 1 2 z 1 2 -1 4980687755793750 z 1 2 2490343877896875 4 z 1 2 -2490343877896875 [/itex]

 Rule Form

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

 2007-05-02