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; }

 AiryAi

 http://functions.wolfram.com/03.05.22.0008.01

 Input Form

 HankelTransform[AiryAi[t], {t, \[Nu]}, z] == 2^(-6 - \[Nu]) 3^((1/3) (-1 - \[Nu])) z^(1/2 + \[Nu]) ((1/(Pi Gamma[1 + \[Nu]])) (32 3^(1/6 + \[Nu]) Gamma[1/2 + \[Nu]/3] Gamma[5/6 + \[Nu]/3] HypergeometricPFQ[{1/4 + \[Nu]/6, 5/12 + \[Nu]/6, 3/4 + \[Nu]/6, 11/12 + \[Nu]/6}, {1/3, 2/3, 1/3 + \[Nu]/3, 2/3 + \[Nu]/3, 1 + \[Nu]/3}, -(z^6/36)]) - (16 z^2 Gamma[7/6 + \[Nu]/3] Gamma[3/2 + \[Nu]/3] HypergeometricPFQ[{7/12 + \[Nu]/6, 3/4 + \[Nu]/6, 13/12 + \[Nu]/6, 5/4 + \[Nu]/6}, {2/3, 4/3, 2/3 + \[Nu]/3, 1 + \[Nu]/3, 4/3 + \[Nu]/3}, -(z^6/36)])/(Gamma[1 + \[Nu]/3] Gamma[(2 + \[Nu])/3] Gamma[(4 + \[Nu])/3]) + (1/(Pi Gamma[3 + \[Nu]])) (3^(17/6 + \[Nu]) z^4 Gamma[11/6 + \[Nu]/3] Gamma[13/6 + \[Nu]/3] HypergeometricPFQ[{11/12 + \[Nu]/6, 13/12 + \[Nu]/6, 17/12 + \[Nu]/6, 19/12 + \[Nu]/6}, {4/3, 5/3, 1 + \[Nu]/3, 4/3 + \[Nu]/3, 5/3 + \[Nu]/3}, -(z^6/36)])) /; z > 0 && Re[\[Nu]] > -(3/2)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["HankelTransform", "[", RowBox[List[RowBox[List["AiryAi", "[", "t", "]"]], ",", RowBox[List["{", RowBox[List["t", ",", "\[Nu]"]], "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "6"]], "-", "\[Nu]"]]], " ", SuperscriptBox["3", RowBox[List[FractionBox["1", "3"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "\[Nu]"]], ")"]]]]], " ", SuperscriptBox["z", RowBox[List[FractionBox["1", "2"], "+", "\[Nu]"]]], " ", RowBox[List["(", RowBox[List[RowBox[List[FractionBox["1", RowBox[List["\[Pi]", " ", RowBox[List["Gamma", "[", RowBox[List["1", "+", "\[Nu]"]], "]"]]]]], RowBox[List["(", RowBox[List["32", " ", SuperscriptBox["3", RowBox[List[FractionBox["1", "6"], "+", "\[Nu]"]]], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["1", "2"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["5", "6"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["1", "4"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["5", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["3", "4"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["11", "12"], "+", FractionBox["\[Nu]", "6"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["1", "3"], ",", FractionBox["2", "3"], ",", RowBox[List[FractionBox["1", "3"], "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List[FractionBox["2", "3"], "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List["1", "+", FractionBox["\[Nu]", "3"]]]]], "}"]], ",", RowBox[List["-", FractionBox[SuperscriptBox["z", "6"], "36"]]]]], "]"]]]], ")"]]]], "-", RowBox[List[RowBox[List["(", RowBox[List["16", " ", SuperscriptBox["z", "2"], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["7", "6"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["3", "2"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["7", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["3", "4"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["13", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["5", "4"], "+", FractionBox["\[Nu]", "6"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["2", "3"], ",", FractionBox["4", "3"], ",", RowBox[List[FractionBox["2", "3"], "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List["1", "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List[FractionBox["4", "3"], "+", FractionBox["\[Nu]", "3"]]]]], "}"]], ",", RowBox[List["-", FractionBox[SuperscriptBox["z", "6"], "36"]]]]], "]"]]]], ")"]], "/", RowBox[List["(", RowBox[List[RowBox[List["Gamma", "[", RowBox[List["1", "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["Gamma", "[", FractionBox[RowBox[List["2", "+", "\[Nu]"]], "3"], "]"]], " ", RowBox[List["Gamma", "[", FractionBox[RowBox[List["4", "+", "\[Nu]"]], "3"], "]"]]]], ")"]]]], "+", RowBox[List[FractionBox["1", RowBox[List["\[Pi]", " ", RowBox[List["Gamma", "[", RowBox[List["3", "+", "\[Nu]"]], "]"]]]]], RowBox[List["(", RowBox[List[SuperscriptBox["3", RowBox[List[FractionBox["17", "6"], "+", "\[Nu]"]]], " ", SuperscriptBox["z", "4"], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["11", "6"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["13", "6"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["11", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["13", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["17", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["19", "12"], "+", FractionBox["\[Nu]", "6"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["4", "3"], ",", FractionBox["5", "3"], ",", RowBox[List["1", "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List[FractionBox["4", "3"], "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List[FractionBox["5", "3"], "+", FractionBox["\[Nu]", "3"]]]]], "}"]], ",", RowBox[List["-", FractionBox[SuperscriptBox["z", "6"], "36"]]]]], "]"]]]], ")"]]]]]], ")"]]]]]], "/;", RowBox[List[RowBox[List["z", ">", "0"]], "&&", RowBox[List[RowBox[List["Re", "[", "\[Nu]", "]"]], ">", RowBox[List["-", FractionBox["3", "2"]]]]]]]]]]]

 MathML Form

 t ; ν [ Ai ( t ) ] ( z ) 2 - ν - 6 3 - ν + 1 3 z ν + 1 2 ( 1 π Γ ( ν + 1 ) ( 32 3 ν + 1 6 Γ ( ν 3 + 1 2 ) Γ ( ν 3 + 5 6 ) 4 F 5 ( ν 6 + 1 4 , ν 6 + 5 12 , ν 6 + 3 4 , ν 6 + 11 12 ; 1 3 , 2 3 , ν 3 + 1 3 , ν 3 + 2 3 , ν 3 + 1 ; - z 6 36 ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["4", TraditionalForm]], SubscriptBox["F", FormBox["5", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["1", "4"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["5", "12"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["3", "4"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["11", "12"]]], HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["1", "3"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[FractionBox["2", "3"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "3"], "+", FractionBox["1", "3"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "3"], "+", FractionBox["2", "3"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "3"], "+", "1"]], HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox[RowBox[List["-", FractionBox[SuperscriptBox["z", "6"], "36"]]], HypergeometricPFQ, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQ] ) + 1 π Γ ( ν + 3 ) ( 3 ν + 17 6 z 4 Γ ( ν 3 + 11 6 ) Γ ( ν 3 + 13 6 ) 4 F 5 ( ν 6 + 11 12 , ν 6 + 13 12 , ν 6 + 17 12 , ν 6 + 19 12 ; 4 3 , 5 3 , ν 3 + 1 , ν 3 + 4 3 , ν 3 + 5 3 ; - z 6 36 ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["4", TraditionalForm]], SubscriptBox["F", FormBox["5", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["11", "12"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["13", "12"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["17", "12"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["19", "12"]]], HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["4", "3"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[FractionBox["5", "3"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "3"], "+", "1"]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "3"], "+", FractionBox["4", "3"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "3"], "+", FractionBox["5", "3"]]], HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox[RowBox[List["-", FractionBox[SuperscriptBox["z", "6"], "36"]]], HypergeometricPFQ, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQ] ) - 1 Γ ( ν 3 + 1 ) Γ ( ν + 2 3 ) Γ ( ν + 4 3 ) ( 16 z 2 Γ ( ν 3 + 7 6 ) Γ ( ν 3 + 3 2 ) 4 F 5 ( ν 6 + 7 12 , ν 6 + 3 4 , ν 6 + 13 12 , ν 6 + 5 4 ; 2 3 , 4 3 , ν 3 + 2 3 , ν 3 + 1 , ν 3 + 4 3 ; - z 6 36 ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["4", TraditionalForm]], SubscriptBox["F", FormBox["5", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["7", "12"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["3", "4"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["13", "12"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "6"], "+", FractionBox["5", "4"]]], HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["2", "3"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[FractionBox["4", "3"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "3"], "+", FractionBox["2", "3"]]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "3"], "+", "1"]], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[RowBox[List[FractionBox["\[Nu]", "3"], "+", FractionBox["4", "3"]]], HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox[RowBox[List["-", FractionBox[SuperscriptBox["z", "6"], "36"]]], HypergeometricPFQ, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQ] ) ) /; z > 0 Re ( ν ) > - 3 2 Condition Subscript CompoundExpression t ν AiryAi t z 2 -1 ν -6 3 -1 ν 1 3 -1 z ν 1 2 1 Gamma ν 1 -1 32 3 ν 1 6 Gamma ν 3 -1 1 2 Gamma ν 3 -1 5 6 HypergeometricPFQ ν 6 -1 1 4 ν 6 -1 5 12 ν 6 -1 3 4 ν 6 -1 11 12 1 3 2 3 ν 3 -1 1 3 ν 3 -1 2 3 ν 3 -1 1 -1 z 6 36 -1 1 Gamma ν 3 -1 3 ν 17 6 z 4 Gamma ν 3 -1 11 6 Gamma ν 3 -1 13 6 HypergeometricPFQ ν 6 -1 11 12 ν 6 -1 13 12 ν 6 -1 17 12 ν 6 -1 19 12 4 3 5 3 ν 3 -1 1 ν 3 -1 4 3 ν 3 -1 5 3 -1 z 6 36 -1 -1 1 Gamma ν 3 -1 1 Gamma ν 2 3 -1 Gamma ν 4 3 -1 -1 16 z 2 Gamma ν 3 -1 7 6 Gamma ν 3 -1 3 2 HypergeometricPFQ ν 6 -1 7 12 ν 6 -1 3 4 ν 6 -1 13 12 ν 6 -1 5 4 2 3 4 3 ν 3 -1 2 3 ν 3 -1 1 ν 3 -1 4 3 -1 z 6 36 -1 z 0 ν -1 3 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HankelTransform", "[", RowBox[List[RowBox[List["AiryAi", "[", "t_", "]"]], ",", RowBox[List["{", RowBox[List["t_", ",", "\[Nu]_"]], "}"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["2", RowBox[List[RowBox[List["-", "6"]], "-", "\[Nu]"]]], " ", SuperscriptBox["3", RowBox[List[FractionBox["1", "3"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "1"]], "-", "\[Nu]"]], ")"]]]]], " ", SuperscriptBox["z", RowBox[List[FractionBox["1", "2"], "+", "\[Nu]"]]], " ", RowBox[List["(", RowBox[List[FractionBox[RowBox[List["32", " ", SuperscriptBox["3", RowBox[List[FractionBox["1", "6"], "+", "\[Nu]"]]], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["1", "2"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["5", "6"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["1", "4"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["5", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["3", "4"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["11", "12"], "+", FractionBox["\[Nu]", "6"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["1", "3"], ",", FractionBox["2", "3"], ",", RowBox[List[FractionBox["1", "3"], "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List[FractionBox["2", "3"], "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List["1", "+", FractionBox["\[Nu]", "3"]]]]], "}"]], ",", RowBox[List["-", FractionBox[SuperscriptBox["z", "6"], "36"]]]]], "]"]]]], RowBox[List["\[Pi]", " ", RowBox[List["Gamma", "[", RowBox[List["1", "+", "\[Nu]"]], "]"]]]]], "-", FractionBox[RowBox[List["16", " ", SuperscriptBox["z", "2"], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["7", "6"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["3", "2"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["7", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["3", "4"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["13", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["5", "4"], "+", FractionBox["\[Nu]", "6"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["2", "3"], ",", FractionBox["4", "3"], ",", RowBox[List[FractionBox["2", "3"], "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List["1", "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List[FractionBox["4", "3"], "+", FractionBox["\[Nu]", "3"]]]]], "}"]], ",", RowBox[List["-", FractionBox[SuperscriptBox["z", "6"], "36"]]]]], "]"]]]], RowBox[List[RowBox[List["Gamma", "[", RowBox[List["1", "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["Gamma", "[", FractionBox[RowBox[List["2", "+", "\[Nu]"]], "3"], "]"]], " ", RowBox[List["Gamma", "[", FractionBox[RowBox[List["4", "+", "\[Nu]"]], "3"], "]"]]]]], "+", FractionBox[RowBox[List[SuperscriptBox["3", RowBox[List[FractionBox["17", "6"], "+", "\[Nu]"]]], " ", SuperscriptBox["z", "4"], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["11", "6"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["Gamma", "[", RowBox[List[FractionBox["13", "6"], "+", FractionBox["\[Nu]", "3"]]], "]"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List[FractionBox["11", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["13", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["17", "12"], "+", FractionBox["\[Nu]", "6"]]], ",", RowBox[List[FractionBox["19", "12"], "+", FractionBox["\[Nu]", "6"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["4", "3"], ",", FractionBox["5", "3"], ",", RowBox[List["1", "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List[FractionBox["4", "3"], "+", FractionBox["\[Nu]", "3"]]], ",", RowBox[List[FractionBox["5", "3"], "+", FractionBox["\[Nu]", "3"]]]]], "}"]], ",", RowBox[List["-", FractionBox[SuperscriptBox["z", "6"], "36"]]]]], "]"]]]], RowBox[List["\[Pi]", " ", RowBox[List["Gamma", "[", RowBox[List["3", "+", "\[Nu]"]], "]"]]]]]]], ")"]]]], "/;", RowBox[List[RowBox[List["z", ">", "0"]], "&&", RowBox[List[RowBox[List["Re", "[", "\[Nu]", "]"]], ">", RowBox[List["-", FractionBox["3", "2"]]]]]]]]]]]]]

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

 2001-10-29