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AiryAiPrime






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAiPrime[z] > Series representations > Asymptotic series expansions > Expansions for any z in trigonometric form > Using trigonometric functions with branch cut-containing arguments





http://functions.wolfram.com/03.07.06.0027.01









  


  










Input Form





AiryAiPrime[z] \[Proportional] (1/(2 Sqrt[3 Pi] (-z^3)^(7/12))) (((z^2 - (-z^3)^(2/3)) Cos[Pi/4 - (2 Sqrt[-z^3])/3] - Sqrt[3] (z^2 + (-z^3)^(2/3)) Cos[Pi/4 + (2 Sqrt[-z^3])/3]) (1 + O[1/z^3]) - (7/(48 Sqrt[-z^3])) ((-Sqrt[3]) (z^2 + (-z^3)^(2/3)) Cos[Pi/4 - (2 Sqrt[-z^3])/3] + (-z^2 + (-z^3)^(2/3)) Cos[Pi/4 + (2 Sqrt[-z^3])/3]) (1 + O[1/z^3])) /; (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