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AiryAiPrime






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAiPrime[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/03.07.06.0045.01









  


  










Input Form





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