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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/03.08.06.0025.01









  


  








Input Form





AiryBiPrime[z] \[Proportional] (1/(2 Sqrt[Pi] (-z^3)^(7/12))) (((-(-1)^(11/12)) ((-z^3)^(2/3) + (-1)^(2/3) z^2) Sum[((Pochhammer[-(1/6), k] Pochhammer[7/6, k])/k!) ((3 I)/(4 Sqrt[-z^3]))^k, {k, 0, Infinity}])/E^((2/3) I Sqrt[-z^3]) + (-1)^(1/12) E^((2/3) I Sqrt[-z^3]) ((-z^3)^(2/3) + z^2/(-1)^(2/3)) Sum[((Pochhammer[-(1/6), k] Pochhammer[7/6, k])/k!) (-((3 I)/(4 Sqrt[-z^3])))^k, {k, 0, Infinity}]) /; (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