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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/03.07.21.0015.01









  


  








Input Form





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