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variants of this functions
KelvinBei






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[z] > Series representations > Asymptotic series expansions > Expansions inside Stokes sectors > Expansions containing z->infinity > In exponential form ||| In exponential form





http://functions.wolfram.com/03.13.06.0021.01









  


  










Input Form





KelvinBei[z] \[Proportional] (-(1/(2 Sqrt[2 Pi] Sqrt[z]))) (((-E^(-((I Pi)/8) - (I z)/Sqrt[2])) (1 + O[1/z^2]) + E^((I Pi)/8 + (I z)/Sqrt[2]) (1 + O[1/z^2]))/E^(z/Sqrt[2]) + E^(z/Sqrt[2]) (E^(-((3 I Pi)/8) - (I z)/Sqrt[2]) (1 + O[1/z^2]) + E^((3 I Pi)/8 + (I z)/Sqrt[2]) (1 + O[1/z^2]))) /; 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