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variants of this functions
KelvinBei






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[z] > Series representations > Asymptotic series expansions > Expansions for any z in exponential form > Using exponential function with branch cut-free arguments





http://functions.wolfram.com/03.13.06.0038.01









  


  










Input Form





KelvinBei[z] \[Proportional] (-((-1)^(3/4)/(2 Sqrt[2 Pi]))) (E^(z/Sqrt[2]) ((E^((I z)/Sqrt[2])/Sqrt[(-1)^(3/4) z]) (1 + O[1/z^2]) - (1/(E^((I z)/Sqrt[2]) Sqrt[(-1)^(1/4) z])) (1 + O[1/z^2])) + ((-(E^((I z)/Sqrt[2])/Sqrt[(-(-1)^(1/4)) z])) (1 + O[1/z^2]) + (1/(E^((I z)/Sqrt[2]) Sqrt[(-(-1)^(3/4)) z])) (1 + O[1/z^2]))/ E^(z/Sqrt[2])) /; (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