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AiryAi






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAi[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions > Involving cosh > Power arguments





http://functions.wolfram.com/03.05.21.0026.01









  


  










Input Form





Integrate[Cosh[(2/3) (a z^r)^(3/2)] AiryAi[a z^r], z] == (z (3 (1 + r) Gamma[4/3] HypergeometricPFQ[{1/6, 2/(3 r)}, {1/3, 1 + 2/(3 r)}, (-(4/3)) (a z^r)^(3/2)] + 3 (1 + r) Gamma[4/3] HypergeometricPFQ[{1/6, 2/(3 r)}, {1/3, 1 + 2/(3 r)}, (4/3) (a z^r)^(3/2)] - 3^(1/3) a z^r Gamma[2/3] (HypergeometricPFQ[{5/6, 2/3 + 2/(3 r)}, {5/3, 5/3 + 2/(3 r)}, (-(4/3)) (a z^r)^(3/2)] + HypergeometricPFQ[{5/6, 2/3 + 2/(3 r)}, {5/3, 5/3 + 2/(3 r)}, (4/3) (a z^r)^(3/2)])))/ (6 3^(2/3) (1 + r) Gamma[2/3] Gamma[4/3])










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2001-10-29





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