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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/03.17.03.0007.01









  


  










Input Form





KelvinBei[-(13/3), z] == (-(1/(54 2^(2/3) 3^(5/6) z^(13/3)))) ((-1)^(1/4) (Sqrt[3] (4480 I + 3024 z^2 - 81 I z^4) AiryAi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + Sqrt[3] (-4480 - 3024 I z^2 + 81 z^4) AiryAi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (6720 I 3^(1/6) ((1 + I) z)^(2/3) + 756 3^(1/6) z^2 ((1 + I) z)^(2/3)) AiryAiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (6720 3^(1/6) ((1 + I) z)^(2/3) + 756 I 3^(1/6) z^2 ((1 + I) z)^(2/3)) AiryAiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (4480 I + 3024 z^2 - 81 I z^4) AiryBi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (-4480 - 3024 I z^2 + 81 z^4) AiryBi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (2240 I 3^(2/3) ((1 + I) z)^(2/3) + 252 3^(2/3) z^2 ((1 + I) z)^(2/3)) AiryBiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (2240 3^(2/3) ((1 + I) z)^(2/3) + 252 I 3^(2/3) z^2 ((1 + I) z)^(2/3)) AiryBiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)]))










Standard Form





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MathML Form







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





2007-05-02