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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 power function > Involving power > Power arguments





http://functions.wolfram.com/03.07.21.0008.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) AiryAiPrime[a z^r], z] == (1/(9 3^(2/3) r)) (z^\[Alpha] (-3 3^(1/3) Gamma[\[Alpha]/(3 r)] HypergeometricPFQRegularized[{\[Alpha]/(3 r)}, {1/3, 1 + \[Alpha]/(3 r)}, (1/9) a^3 z^(3 r)] + a^2 z^(2 r) Gamma[(1/3) (2 + \[Alpha]/r)] HypergeometricPFQRegularized[ {(1/3) (2 + \[Alpha]/r)}, {5/3, (1/3) (5 + \[Alpha]/r)}, (1/9) a^3 z^(3 r)]))








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