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AiryBiPrime






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBiPrime[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/03.08.06.0013.01









  


  










Input Form





AiryBiPrime[z] \[Proportional] (1/(2 Sqrt[Pi] (-z^3)^(7/12))) ((-1)^(1/12) E^((2/3) I Sqrt[-z^3]) ((-z^3)^(2/3) + z^2/(-1)^(2/3)) 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