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; }

 KelvinBei

 http://functions.wolfram.com/03.17.03.0033.01

 Input Form

 KelvinBei[10/3, z] == (16 Sqrt[3] (14 I + 9 z^2) AiryAi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] - 16 Sqrt[3] (-14 I + 9 z^2) AiryAi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (336 I 3^(1/6) ((1 + I) z)^(2/3) + 27 3^(1/6) z^2 ((1 + I) z)^(2/3)) AiryAiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (-336 I 3^(1/6) ((1 + I) z)^(2/3) + 27 3^(1/6) z^2 ((1 + I) z)^(2/3)) AiryAiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (-224 I - 144 z^2) AiryBi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (-224 I + 144 z^2) AiryBi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (-112 I 3^(2/3) ((1 + I) z)^(2/3) - 9 3^(2/3) z^2 ((1 + I) z)^(2/3)) AiryBiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (112 I 3^(2/3) ((1 + I) z)^(2/3) - 9 3^(2/3) z^2 ((1 + I) z)^(2/3)) AiryBiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)])/ (18 2^(1/3) 3^(5/6) z^(8/3) ((1 + I) z)^(2/3))

 Standard Form

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"/", "3"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["(", RowBox[List["1", "+", "\[ImaginaryI]"]], ")"]], " ", "z"]], ")"]], RowBox[List["2", "/", "3"]]]]], ")"]]]]]]]]

 MathML Form

 bei 10 3 ( z ) 1 18 2 3 3 5 / 6 z 8 / 3 ( ( 1 + ) z ) 2 / 3 ( - 16 3 ( 9 z 2 - 14 ) Ai ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + 16 3 ( 9 z 2 + 14 ) Ai ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + ( 27 3 6 z 2 ( ( 1 + ) z ) 2 / 3 - 336 3 6 ( ( 1 + ) z ) 2 / 3 ) Ai ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + ( 27 3 6 z 2 ( ( 1 + ) z ) 2 / 3 + 336 3 6 ( ( 1 + ) z ) 2 / 3 ) Ai ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + ( 144 z 2 - 224 ) Bi ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + ( - 144 z 2 - 224 ) Bi ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + ( 112 3 2 / 3 ( ( 1 + ) z ) 2 / 3 - 9 3 2 / 3 z 2 ( ( 1 + ) z ) 2 / 3 ) Bi ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + ( - 9 3 2 / 3 z 2 ( ( 1 + ) z ) 2 / 3 - 112 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Bi ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) ) KelvinBei 10 3 z 1 18 2 1 3 3 5 6 z 8 3 1 z 2 3 -1 -16 3 1 2 9 z 2 -1 14 AiryAi 1 2 3 2 3 1 z 2 3 16 3 1 2 9 z 2 14 AiryAi -1 1 2 3 2 3 1 z 2 3 27 3 1 6 z 2 1 z 2 3 -1 336 3 1 6 1 z 2 3 AiryAiPrime 1 2 3 2 3 1 z 2 3 27 3 1 6 z 2 1 z 2 3 336 3 1 6 1 z 2 3 AiryAiPrime -1 1 2 3 2 3 1 z 2 3 144 z 2 -1 224 AiryBi 1 2 3 2 3 1 z 2 3 -144 z 2 -1 224 AiryBi -1 1 2 3 2 3 1 z 2 3 112 3 2 3 1 z 2 3 -1 9 3 2 3 z 2 1 z 2 3 AiryBiPrime 1 2 3 2 3 1 z 2 3 -9 3 2 3 z 2 1 z 2 3 -1 112 3 2 3 1 z 2 3 AiryBiPrime -1 1 2 3 2 3 1 z 2 3 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["KelvinBei", "[", RowBox[List[FractionBox["10", "3"], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["16", " ", SqrtBox["3"], " ", RowBox[List["(", RowBox[List[RowBox[List["14", " ", "\[ImaginaryI]"]], "+", RowBox[List["9", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["AiryAi", "[", RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", SuperscriptBox["3", RowBox[List["2", "/", "3"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["(", RowBox[List["1", "+", "\[ImaginaryI]"]], ")"]], " ", "z"]], ")"]], RowBox[List["2", "/", "3"]]]]], "]"]]]], "-", RowBox[List["16", " ", SqrtBox["3"], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "14"]], " ", "\[ImaginaryI]"]], "+", RowBox[List["9", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["AiryAi", "[", RowBox[List[FractionBox["1", "2"], " ", SuperscriptBox["3", RowBox[List["2", "/", 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 Date Added to functions.wolfram.com (modification date)

 2007-05-02