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; }

 KelvinKei

 http://functions.wolfram.com/03.19.03.0031.01

 Input Form

 KelvinKei[10/3, z] == (I Pi (16 Sqrt[3] z^(1/3) (-28 (-1)^(1/3) z^(2/3) + 18 (-1)^(5/6) z^(8/3) + 14 I 2^(2/3) ((1 + I) z)^(2/3) + 9 2^(2/3) z^2 ((1 + I) z)^(2/3)) AiryAi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] - 16 Sqrt[3] z^(1/3) (-28 (-1)^(2/3) z^(2/3) + 18 (-1)^(1/6) z^(8/3) - 14 I 2^(2/3) ((1 + I) z)^(2/3) + 9 2^(2/3) z^2 ((1 + I) z)^(2/3)) AiryAi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + 3 3^(1/6) ((1 + I) z)^(4/3) (112 I + 9 z^2) (2^(2/3) z^(1/3) + (1 + I) (-1)^(1/3) ((1 + I) z)^(1/3)) AiryAiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 3 3^(1/6) ((1 + I) z)^(2/3) (-112 I + 9 z^2) (2 (-1)^(1/6) z + 2^(2/3) z^(1/3) ((1 + I) z)^(2/3)) AiryAiPrime[ (1/2) 3^(2/3) ((1 + I) z)^(2/3)] - 16 I z^(1/3) (28 (-1)^(5/6) z^(2/3) + 18 (-1)^(1/3) z^(8/3) - 14 2^(2/3) ((1 + I) z)^(2/3) + (9 ((1 + I) z)^(8/3))/2^(1/3)) AiryBi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] - 16 I z^(1/3) (28 (-1)^(1/6) z^(2/3) + 18 (-1)^(2/3) z^(8/3) - 14 2^(2/3) ((1 + I) z)^(2/3) - 9 I 2^(2/3) z^2 ((1 + I) z)^(2/3)) AiryBi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + 3^(2/3) z^(1/3) ((1 + I) z)^(2/3) (224 (-1)^(1/3) z^(2/3) - 18 (-1)^(5/6) z^(8/3) + 112 I 2^(2/3) ((1 + I) z)^(2/3) + 9 2^(2/3) z^2 ((1 + I) z)^(2/3)) AiryBiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 3^(2/3) z^(1/3) ((1 + I) z)^(2/3) (224 (-1)^(2/3) z^(2/3) - 18 (-1)^(1/6) z^(8/3) - 112 I 2^(2/3) ((1 + I) z)^(2/3) + 9 2^(2/3) z^2 ((1 + I) z)^(2/3)) AiryBiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)]))/ (108 6^(1/3) z^(11/3) ((1 + I) z)^(2/3))

 Standard Form

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", "z"]], ")"]], RowBox[List["2", "/", "3"]]]]], "]"]]]]]], ")"]]]], ")"]], "/", RowBox[List["(", RowBox[List["108", " ", SuperscriptBox["6", RowBox[List["1", "/", "3"]]], " ", SuperscriptBox["z", RowBox[List["11", "/", "3"]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["(", RowBox[List["1", "+", "\[ImaginaryI]"]], ")"]], " ", "z"]], ")"]], RowBox[List["2", "/", "3"]]]]], ")"]]]]]]]]

 MathML Form

 kei 10 3 ( z ) π 108 6 3 z 11 / 3 ( ( 1 + ) z ) 2 / 3 ( - 16 3 ( - 28 ( - 1 ) 2 / 3 z 2 / 3 + 18 - 1 6 z 8 / 3 + 9 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 - 14 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Ai ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) z 3 + 16 3 ( - 28 - 1 3 z 2 / 3 + 18 ( - 1 ) 5 / 6 z 8 / 3 + 9 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 + 14 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Ai ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) z 3 - 16 ( 28 - 1 6 z 2 / 3 + 18 ( - 1 ) 2 / 3 z 8 / 3 - 9 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 - 14 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Bi ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) z 3 - 16 ( 28 ( - 1 ) 5 / 6 z 2 / 3 + 18 - 1 3 z 8 / 3 - 14 2 2 / 3 ( ( 1 + ) z ) 2 / 3 + 9 ( ( 1 + ) z ) 8 / 3 2 3 ) Bi ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) z 3 + 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ( 224 ( - 1 ) 2 / 3 z 2 / 3 - 18 - 1 6 z 8 / 3 + 9 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 - 112 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Bi ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) z 3 + 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ( 224 - 1 3 z 2 / 3 - 18 ( - 1 ) 5 / 6 z 8 / 3 + 9 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 + 112 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Bi ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) z 3 + 3 3 6 ( ( 1 + ) z ) 2 / 3 ( 9 z 2 - 112 ) ( 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 3 + 2 - 1 6 z ) Ai ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + 3 3 6 ( ( 1 + ) z ) 4 / 3 ( 9 z 2 + 112 ) ( 2 2 / 3 z 3 + - 1 3 ( 1 + ) ( 1 + ) z 3 ) Ai ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) ) KelvinKei 10 3 z 108 6 1 3 z 11 3 1 z 2 3 -1 -16 3 1 2 -28 -1 2 3 z 2 3 18 -1 1 6 z 8 3 9 2 2 3 1 z 2 3 z 2 -1 14 2 2 3 1 z 2 3 AiryAi 1 2 3 2 3 1 z 2 3 z 1 3 16 3 1 2 -28 -1 1 3 z 2 3 18 -1 5 6 z 8 3 9 2 2 3 1 z 2 3 z 2 14 2 2 3 1 z 2 3 AiryAi -1 1 2 3 2 3 1 z 2 3 z 1 3 -1 16 28 -1 1 6 z 2 3 18 -1 2 3 z 8 3 -1 9 2 2 3 1 z 2 3 z 2 -1 14 2 2 3 1 z 2 3 AiryBi 1 2 3 2 3 1 z 2 3 z 1 3 -1 16 28 -1 5 6 z 2 3 18 -1 1 3 z 8 3 -1 14 2 2 3 1 z 2 3 9 1 z 8 3 2 1 3 -1 AiryBi -1 1 2 3 2 3 1 z 2 3 z 1 3 3 2 3 1 z 2 3 224 -1 2 3 z 2 3 -1 18 -1 1 6 z 8 3 9 2 2 3 1 z 2 3 z 2 -1 112 2 2 3 1 z 2 3 AiryBiPrime 1 2 3 2 3 1 z 2 3 z 1 3 3 2 3 1 z 2 3 224 -1 1 3 z 2 3 -1 18 -1 5 6 z 8 3 9 2 2 3 1 z 2 3 z 2 112 2 2 3 1 z 2 3 AiryBiPrime -1 1 2 3 2 3 1 z 2 3 z 1 3 3 3 1 6 1 z 2 3 9 z 2 -1 112 2 2 3 1 z 2 3 z 1 3 2 -1 1 6 z AiryAiPrime 1 2 3 2 3 1 z 2 3 3 3 1 6 1 z 4 3 9 z 2 112 2 2 3 z 1 3 -1 1 3 1 1 z 1 3 AiryAiPrime -1 1 2 3 2 3 1 z 2 3 [/itex]

 Rule Form

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

 2007-05-02