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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/03.17.03.0038.01









  


  








Input Form





KelvinBei[14/3, z] == (-((14080 2^(1/3) z^(14/3))/(81 3^(5/6) ((1 + I) z)^(28/3)))) ((9/110) I Sqrt[3] ((1 + I) z)^(4/3) (110 I + 9 z^2) AiryAi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (9/110) I Sqrt[3] ((1 + I) z)^(4/3) (110 I - 9 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)])/1760 - (3 3^(1/6) (-14080 - 4320 I z^2 + 81 z^4) AiryAiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)])/1760 + (-9 ((1 + I) z)^(4/3) + (81/110) I z^2 ((1 + I) z)^(4/3)) AiryBi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (-9 ((1 + I) z)^(4/3) - (81/110) 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)])/1760 - (3^(2/3) (-14080 - 4320 I z^2 + 81 z^4) AiryBiPrime[ (1/2) 3^(2/3) ((1 + I) z)^(2/3)])/1760)








Standard Form





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MathML Form







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<mn> 3 </mn> </mrow> </msup> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mn> 1 </mn> <mo> + </mo> <mi> &#8520; </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mrow> <mn> 2 </mn> <mo> / </mo> <mn> 3 </mn> </mrow> </msup> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mfrac> <mrow> <mn> 3 </mn> <mo> &#8290; </mo> <mroot> <mn> 3 </mn> <mn> 6 </mn> </mroot> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 81 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 4320 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 14080 </mn> </mrow> <mo> ) </mo> </mrow> <mtext> </mtext> </mrow> <mn> 1760 </mn> </mfrac> <mo> &#8290; </mo> <mrow> <msup> <mi> Ai </mi> <mo> &#8242; </mo> </msup> <mo> ( </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> <mo> &#8290; </mo> 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Rule Form





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





2007-05-02