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AiryAi




Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAi[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/03.05.06.0045.01









  


  








Input Form





AiryAi[z] \[Proportional] Piecewise[ {{1/(E^((2 z^(3/2))/3) (2 Sqrt[Pi] z^(1/4))) - (I E^((2 z^(3/2))/3))/ (2 Sqrt[Pi] z^(1/4)), Arg[z] <= -((2 Pi)/3)}, {1/(E^((2 z^(3/2))/3) (2 Sqrt[Pi] z^(1/4))), Inequality[-((2 Pi)/3), Less, Arg[z], LessEqual, (2 Pi)/3]}}, 1/(E^((2 z^(3/2))/3) (2 Sqrt[Pi] z^(1/4))) + (I E^((2 z^(3/2))/3))/ (2 Sqrt[Pi] z^(1/4))] /; (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