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AiryBi






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBi[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions > Involving sinh > Linear argument





http://functions.wolfram.com/03.06.21.0021.01









  


  










Input Form





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










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





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