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variants of this functions
KelvinBei






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.17.06.0036.01









  


  










Input Form





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





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