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variants of this functions
KelvinBer






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.18.03.0038.01









  


  










Input Form





KelvinBer[14/3, z] == -(I z^(2/3) (144 I Sqrt[3] ((1 + I) z)^(4/3) (110 I + 9 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 3^(1/6) (-14080 - 4320 I z^2 + 81 z^4) AiryAiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + 144 I ((1 + I) z)^(4/3) (110 I + 9 z^2) AiryBi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 144 ((1 + I) z)^(4/3) (110 + 9 I z^2) 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)]))/(162 3^(5/6) ((1 + I) z)^(2/3) ((-1)^(1/4) z)^(14/3))










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