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AiryBiPrime




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.08.21.0018.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) E^((2/3) (a z^r)^(3/2)) AiryBiPrime[a z^r], z] == (z^\[Alpha] (9 (2 r + \[Alpha]) Gamma[5/3] HypergeometricPFQ[ {-(1/6), (2 \[Alpha])/(3 r)}, {-(1/3), 1 + (2 \[Alpha])/(3 r)}, (4/3) (a z^r)^(3/2)] + 3^(2/3) a^2 z^(2 r) \[Alpha] Gamma[1/3] HypergeometricPFQ[{7/6, 4/3 + (2 \[Alpha])/(3 r)}, {7/3, 7/3 + (2 \[Alpha])/(3 r)}, (4/3) (a z^r)^(3/2)]))/ (3 3^(5/6) \[Alpha] (2 r + \[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