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variants of this functions
KelvinBer






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBer[nu,z] > Series representations > Asymptotic series expansions > Expansions inside Stokes sectors > Expansions containing z->infinity > In trigonometric form ||| In trigonometric form





http://functions.wolfram.com/03.18.06.0040.01









  


  










Input Form





KelvinBer[\[Nu], z] \[Proportional] (1/(Sqrt[2 Pi] Sqrt[z])) (E^(z/Sqrt[2]) Cos[(1/8) (Pi (1 - 4 \[Nu]) - 4 Sqrt[2] z)] + I E^(I Pi \[Nu] - z/Sqrt[2]) Sin[(1/8) (Pi (3 + 4 \[Nu]) - 4 Sqrt[2] z)]) (1 + O[1/z^4]) /; Inequality[-(Pi/2), Less, Arg[z], LessEqual, Pi] && (Abs[z] -> Infinity)










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





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