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AiryAiPrime






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAiPrime[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Linear arguments





http://functions.wolfram.com/03.07.21.0016.01









  


  










Input Form





Integrate[Sqrt[z] E^((2/3) (a z)^(3/2)) AiryAiPrime[a z], z] == (1/(21 a^2 Sqrt[z] Gamma[1/3])) (6 a^2 E^((2/3) (a z)^(3/2)) z^2 AiryAiPrime[a z] Gamma[1/3] + 2 Sqrt[a z] (2 3^(2/3) + (a^3 E^((2/3) (a z)^(3/2)) z^3 BesselI[-(5/3), (2/3) a^(3/2) z^(3/2)] Gamma[1/3])/(a^(3/2) z^(3/2))^(1/3) - a^2 E^((2/3) (a z)^(3/2)) z^2 (a^(3/2) z^(3/2))^(1/3) BesselI[5/3, (2/3) a^(3/2) z^(3/2)] Gamma[1/3]))










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