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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 hyperbolic functions > Involving sinh > Power arguments





http://functions.wolfram.com/03.08.21.0022.01









  


  










Input Form





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