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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 > Involving exp > Power arguments





http://functions.wolfram.com/03.07.21.0011.01









  


  








Input Form





Integrate[AiryAiPrime[a z^r]/E^((2/3) (a z^r)^(3/2)), z] == -(z (3 3^(1/3) (1 + 2 r) Gamma[5/3] HypergeometricPFQ[{-(1/6), 2/(3 r)}, {-(1/3), 1 + 2/(3 r)}, (-(4/3)) (a z^r)^(3/2)] - a^2 z^(2 r) Gamma[1/3] HypergeometricPFQ[{7/6, 4/3 + 2/(3 r)}, {7/3, 7/3 + 2/(3 r)}, (-(4/3)) (a z^r)^(3/2)]))/ (3 3^(2/3) (1 + 2 r) Gamma[1/3] Gamma[5/3])








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