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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/03.17.03.0033.01









  


  










Input Form





KelvinBei[10/3, z] == (16 Sqrt[3] (14 I + 9 z^2) AiryAi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] - 16 Sqrt[3] (-14 I + 9 z^2) AiryAi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (336 I 3^(1/6) ((1 + I) z)^(2/3) + 27 3^(1/6) z^2 ((1 + I) z)^(2/3)) AiryAiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (-336 I 3^(1/6) ((1 + I) z)^(2/3) + 27 3^(1/6) z^2 ((1 + I) z)^(2/3)) AiryAiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (-224 I - 144 z^2) AiryBi[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (-224 I + 144 z^2) AiryBi[(1/2) 3^(2/3) ((1 + I) z)^(2/3)] + (-112 I 3^(2/3) ((1 + I) z)^(2/3) - 9 3^(2/3) z^2 ((1 + I) z)^(2/3)) AiryBiPrime[(-(1/2)) 3^(2/3) ((1 + I) z)^(2/3)] + (112 I 3^(2/3) ((1 + I) z)^(2/3) - 9 3^(2/3) z^2 ((1 + I) z)^(2/3)) AiryBiPrime[(1/2) 3^(2/3) ((1 + I) z)^(2/3)])/ (18 2^(1/3) 3^(5/6) z^(8/3) ((1 + I) z)^(2/3))










Standard Form





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MathML Form







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<mo> &#8289; </mo> <mo> ( </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> <mo> &#8290; </mo> <msup> <mn> 3 </mn> <mrow> <mn> 2 </mn> <mo> / </mo> <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> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> - </mo> <mn> 144 </mn> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 224 </mn> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mi> Bi </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <mo> - </mo> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <mo> &#8290; </mo> <msup> <mn> 3 </mn> <mrow> <mn> 2 </mn> <mo> / </mo> <mn> 3 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Rule Form





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





2007-05-02





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