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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/03.07.06.0010.01









  


  










Input Form





AiryAiPrime[z] \[Proportional] (1/(2 Sqrt[3 Pi] (-z^3)^(7/12))) ((-(-1)^(1/12)) E^((2/3) I Sqrt[-z^3]) ((-z^3)^(2/3) + (-1)^(1/3) z^2) HypergeometricPFQ[{7/6, -(1/6)}, {}, -((3 I)/(4 Sqrt[-z^3]))] + ((-1)^(11/12) ((-z^3)^(2/3) - (-1)^(2/3) z^2) HypergeometricPFQ[ {7/6, -(1/6)}, {}, (3 I)/(4 Sqrt[-z^3])])/E^((2/3) I Sqrt[-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)





2001-10-29





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