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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-containing arguments





http://functions.wolfram.com/03.07.06.0020.01









  


  










Input Form





AiryAiPrime[z] \[Proportional] (((-1)^(11/12) ((-(-1)^(2/3)) z^2 + (-z^3)^(2/3)) (1 - (7 I)/(48 Sqrt[-z^3]) - 455/(4608 z^3) + O[1/z^(9/2)]))/ E^((2/3) I Sqrt[-z^3]) - (-1)^(1/12) E^((2/3) I Sqrt[-z^3]) ((-1)^(1/3) z^2 + (-z^3)^(2/3)) (1 + (7 I)/(48 Sqrt[-z^3]) - 455/(4608 z^3) + O[1/z^(9/2)]))/(2 Sqrt[3 Pi] (-z^3)^(7/12)) /; (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)





2003-08-21





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