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AiryAi






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAi[z] > Series representations > Asymptotic series expansions > Expansions inside Stokes sectors > In trigonometric form





http://functions.wolfram.com/03.05.06.0007.01









  


  










Input Form





AiryAi[-z] \[Proportional] (1/(Sqrt[Pi] z^(1/4))) (Sin[(2 z^(3/2))/3 + Pi/4] HypergeometricPFQ[{1/12, 5/12, 7/12, 11/12}, {1/2}, -(9/(4 z^3))] - (5/(48 z^(3/2))) Cos[(2 z^(3/2))/3 + Pi/4] HypergeometricPFQ[{7/12, 11/12, 13/12, 17/12}, {3/2}, -(9/(4 z^3))]) /; Abs[Arg[z]] < (2 Pi)/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)





2001-10-29





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