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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/03.18.03.0035.01









  


  








Input Form





KelvinBer[11/3, z] == -(I z^(5/3) (9 Sqrt[6] z ((1 + I) z)^(1/3) (160 I + 9 z^2) AiryAi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 9 Sqrt[6] z ((1 + I) z)^(1/3) (-160 - 9 I z^2) AiryAi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + 120 (-1)^(3/4) 3^(1/6) (32 I + 9 z^2) AiryAiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 120 (-1)^(1/4) 3^(1/6) (-32 I + 9 z^2) AiryAiPrime[ (1/2) 3^(2/3) ((1 + I) z)^(2/3)] + 9 Sqrt[2] z ((1 + I) z)^(1/3) (160 I + 9 z^2) AiryBi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 9 Sqrt[2] z ((1 + I) z)^(1/3) (-160 - 9 I z^2) AiryBi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + 40 (-1)^(3/4) 3^(2/3) (32 I + 9 z^2) AiryBiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + 40 (-1)^(1/4) 3^(2/3) (-32 I + 9 z^2) AiryBiPrime[ (1/2) 3^(2/3) ((1 + I) z)^(2/3)]))/(108 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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KelvinBer </ci> <cn type='rational'> 11 <sep /> 3 </cn> <ci> z </ci> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 3 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 108 </cn> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='rational'> 5 <sep /> 6 </cn> </apply> <apply> <power /> <apply> <times /> <apply> <plus /> <cn type='integer'> 1 </cn> <imaginaryi /> </apply> <ci> z </ci> </apply> <cn type='rational'> 2 <sep /> 3 </cn> </apply> <apply> <power /> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 4 </cn> </apply> <ci> z </ci> </apply> <cn type='rational'> 14 <sep /> 3 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 9 </cn> <apply> <power /> <cn type='integer'> 6 </cn> <cn type='rational'> 1 <sep /> 2 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Rule Form





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





2007-05-02