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AiryAi






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAi[z] > Integration > Indefinite integration > Involving direct function and Bessel-type functions > Involving Bessel functions > Involving Bessel K > Linear argument





http://functions.wolfram.com/03.05.21.0056.01









  


  










Input Form





Integrate[BesselK[1, (2/3) (a z)^(3/2)] AiryAi[a z], z] == (1/(8 Sqrt[3] a Pi^(3/2))) (2 Pi MeijerG[{{1}, {1/2, 1}}, {{-(1/6), 1/6, 5/6, 7/6}, {0}}, (2/3)^(2/3) a z, 1/3] + (-3 Log[a z] + 2 Log[(a z)^(3/2)]) MeijerG[{{1/2, 1, 1}, {}}, {{5/6, 7/6}, {-(1/6), 0, 1/6}}, (2/3)^(2/3) a z, 1/3])










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