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variants of this functions
KelvinBei






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[nu,z] > Specific values > Specialized values > For fixed z > Explicit rational nu





http://functions.wolfram.com/03.17.03.0005.01









  


  










Input Form





KelvinBei[-(14/3), z] == (-(1/(162 2^(1/3) 3^(5/6) z^(14/3)))) (144 Sqrt[3] ((1 + I) z)^(4/3) (-110 + 9 I z^2) AiryAi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 144 Sqrt[3] ((1 + I) z)^(4/3) (-110 - 9 I z^2) AiryAi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] - 3 3^(1/6) (-14080 + 4320 I z^2 + 81 z^4) AiryAiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 3^(1/6) (42240 + 12960 I z^2 - 243 z^4) AiryAiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (15840 ((1 + I) z)^(4/3) - 1296 I z^2 ((1 + I) z)^(4/3)) AiryBi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (15840 ((1 + I) z)^(4/3) + 1296 I z^2 ((1 + I) z)^(4/3)) AiryBi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + 3^(2/3) (-14080 + 4320 I z^2 + 81 z^4) AiryBiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 3^(2/3) (-14080 - 4320 I z^2 + 81 z^4) AiryBiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)])










Standard Form





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MathML Form







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Rule Form





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





2007-05-02