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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 > Linear argument





http://functions.wolfram.com/03.07.21.0010.01









  


  










Input Form





Integrate[E^((2/3) (a z)^(3/2)) AiryAiPrime[a z], z] == (1/(15 3^(2/3))) ((1/(a Gamma[5/3])) (6 HypergeometricPFQ[{-(5/6)}, {1/3}, (4/3) (a z)^(3/2)] + 20 (a z)^(3/2) HypergeometricPFQ[{1/6}, {4/3}, (4/3) (a z)^(3/2)]) - (1/Gamma[1/3]) (3 3^(1/3) z (5 HypergeometricPFQ[{-(1/6)}, {5/3}, (4/3) (a z)^(3/2)] + 2 (a z)^(3/2) HypergeometricPFQ[{5/6}, {8/3}, (4/3) (a z)^(3/2)])))










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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