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/03.19.03.0034.01

 Input Form

 KelvinKei[13/3, z] == (1/(81 3^(1/3) ((1 + I) z)^(26/3))) (2 (-1)^(3/4) 2^(2/3) Pi z^(11/3) (Sqrt[3] (-8960 (-1)^(5/6) z^(2/3) - 6048 (-1)^(1/3) z^(8/3) + 162 (-1)^(5/6) z^(14/3) - 4480 2^(2/3) ((1 + I) z)^(2/3) + 3024 I 2^(2/3) z^2 ((1 + I) z)^(2/3) + 81 2^(2/3) z^4 ((1 + I) z)^(2/3)) AiryAi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + Sqrt[3] (-8960 (-1)^(2/3) z^(2/3) + 6048 (-1)^(1/6) z^(8/3) + 162 (-1)^(2/3) z^(14/3) - 4480 I 2^(2/3) ((1 + I) z)^(2/3) + 3024 2^(2/3) z^2 ((1 + I) z)^(2/3) + 81 I 2^(2/3) z^4 ((1 + I) z)^(2/3)) AiryAi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] - (1/((1 + I) z)^(2/3)) (168 3^(1/6) z^(5/3) (80 I 2^(2/3) z^(1/3) + 9 2^(2/3) z^(7/3) + (80 + 80 I) (-1)^(5/6) ((1 + I) z)^(1/3) + 9 (-1)^(1/3) z ((1 + I) z)^(4/3)) AiryAiPrime[ (-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)]) + (1/z^(1/3)) (84 3^(1/6) ((1 + I) z)^(4/3) (80 + 9 I z^2) (I 2^(2/3) z^(1/3) + (1 + I) (-1)^(1/6) ((1 + I) z)^(1/3)) AiryAiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)]) + (8960 (-1)^(5/6) z^(2/3) + 6048 (-1)^(1/3) z^(8/3) - 162 (-1)^(5/6) z^(14/3) - 4480 2^(2/3) ((1 + I) z)^(2/3) + 3024 I 2^(2/3) z^2 ((1 + I) z)^(2/3) + 81 2^(2/3) z^4 ((1 + I) z)^(2/3)) AiryBi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (8960 (-1)^(2/3) z^(2/3) - 6048 (-1)^(1/6) z^(8/3) - 162 (-1)^(2/3) z^(14/3) - 4480 I 2^(2/3) ((1 + I) z)^(2/3) + 3024 2^(2/3) z^2 ((1 + I) z)^(2/3) + 81 I 2^(2/3) z^4 ((1 + I) z)^(2/3)) AiryBi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + 28 I 3^(2/3) ((1 + I) z)^(2/3) (160 (-1)^(1/3) z^(2/3) - 18 (-1)^(5/6) z^(8/3) + 80 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)] + 28 I 3^(2/3) ((1 + I) z)^(2/3) (-160 (-1)^(1/6) z^(2/3) - 18 (-1)^(2/3) z^(8/3) + 80 2^(2/3) ((1 + I) z)^(2/3) + (9 ((1 + I) z)^(8/3))/2^(1/3)) AiryBiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)]))

 Standard Form

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 MathML Form

 kei 13 3 ( z ) 2 ( - 1 ) 3 / 4 2 2 / 3 π z 11 / 3 81 3 3 ( ( 1 + ) z ) 26 / 3 ( 28 3 2 / 3 ( - 160 - 1 6 z 2 / 3 - 18 ( - 1 ) 2 / 3 z 8 / 3 + 80 2 2 / 3 ( ( 1 + ) z ) 2 / 3 + 9 ( ( 1 + ) z ) 8 / 3 2 3 ) Bi ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) ( ( 1 + ) z ) 2 / 3 + 28 3 2 / 3 ( 160 - 1 3 z 2 / 3 - 18 ( - 1 ) 5 / 6 z 8 / 3 + 9 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 + 80 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Bi ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) ( ( 1 + ) z ) 2 / 3 + 3 ( - 8960 ( - 1 ) 2 / 3 z 2 / 3 + 6048 - 1 6 z 8 / 3 + 162 ( - 1 ) 2 / 3 z 14 / 3 + 81 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 4 + 3024 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 - 4480 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Ai ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + 3 ( - 8960 ( - 1 ) 5 / 6 z 2 / 3 - 6048 - 1 3 z 8 / 3 + 162 ( - 1 ) 5 / 6 z 14 / 3 + 81 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 4 + 3024 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 - 4480 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Ai ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + 84 3 6 ( ( 1 + ) z ) 4 / 3 ( 9 z 2 + 80 ) ( 2 2 / 3 z 3 + - 1 6 ( 1 + ) ( 1 + ) z 3 ) Ai ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) z 3 - 1 ( ( 1 + ) z ) 2 / 3 168 3 6 z 5 / 3 ( 80 2 2 / 3 z 3 + 9 2 2 / 3 z 7 / 3 + 9 - 1 3 ( ( 1 + ) z ) 4 / 3 z + ( - 1 ) 5 / 6 ( 80 + 80 ) ( 1 + ) z 3 ) Ai ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + ( 8960 ( - 1 ) 2 / 3 z 2 / 3 - 6048 - 1 6 z 8 / 3 - 162 ( - 1 ) 2 / 3 z 14 / 3 + 81 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 4 + 3024 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 - 4480 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Bi ( 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) + ( 8960 ( - 1 ) 5 / 6 z 2 / 3 + 6048 - 1 3 z 8 / 3 - 162 ( - 1 ) 5 / 6 z 14 / 3 + 81 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 4 + 3024 2 2 / 3 ( ( 1 + ) z ) 2 / 3 z 2 - 4480 2 2 / 3 ( ( 1 + ) z ) 2 / 3 ) Bi ( - 1 2 3 2 / 3 ( ( 1 + ) z ) 2 / 3 ) ) KelvinKei 13 3 z 2 -1 3 4 2 2 3 z 11 3 81 3 1 3 1 z 26 3 -1 28 3 2 3 -160 -1 1 6 z 2 3 -1 18 -1 2 3 z 8 3 80 2 2 3 1 z 2 3 9 1 z 8 3 2 1 3 -1 AiryBiPrime 1 2 3 2 3 1 z 2 3 1 z 2 3 28 3 2 3 160 -1 1 3 z 2 3 -1 18 -1 5 6 z 8 3 9 2 2 3 1 z 2 3 z 2 80 2 2 3 1 z 2 3 AiryBiPrime -1 1 2 3 2 3 1 z 2 3 1 z 2 3 3 1 2 -8960 -1 2 3 z 2 3 6048 -1 1 6 z 8 3 162 -1 2 3 z 14 3 81 2 2 3 1 z 2 3 z 4 3024 2 2 3 1 z 2 3 z 2 -1 4480 2 2 3 1 z 2 3 AiryAi 1 2 3 2 3 1 z 2 3 3 1 2 -8960 -1 5 6 z 2 3 -1 6048 -1 1 3 z 8 3 162 -1 5 6 z 14 3 81 2 2 3 1 z 2 3 z 4 3024 2 2 3 1 z 2 3 z 2 -1 4480 2 2 3 1 z 2 3 AiryAi -1 1 2 3 2 3 1 z 2 3 84 3 1 6 1 z 4 3 9 z 2 80 2 2 3 z 1 3 -1 1 6 1 1 z 1 3 AiryAiPrime 1 2 3 2 3 1 z 2 3 z 1 3 -1 -1 1 1 z 2 3 -1 168 3 1 6 z 5 3 80 2 2 3 z 1 3 9 2 2 3 z 7 3 9 -1 1 3 1 z 4 3 z -1 5 6 80 80 1 z 1 3 AiryAiPrime -1 1 2 3 2 3 1 z 2 3 8960 -1 2 3 z 2 3 -1 6048 -1 1 6 z 8 3 -1 162 -1 2 3 z 14 3 81 2 2 3 1 z 2 3 z 4 3024 2 2 3 1 z 2 3 z 2 -1 4480 2 2 3 1 z 2 3 AiryBi 1 2 3 2 3 1 z 2 3 8960 -1 5 6 z 2 3 6048 -1 1 3 z 8 3 -1 162 -1 5 6 z 14 3 81 2 2 3 1 z 2 3 z 4 3024 2 2 3 1 z 2 3 z 2 -1 4480 2 2 3 1 z 2 3 AiryBi -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