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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 > Power arguments





http://functions.wolfram.com/03.05.21.0059.01









  


  










Input Form





Integrate[BesselK[0, (2/3) (a z^r)^(3/2)] AiryAi[a z^r], z] == (1/(12 2^(1/3) 3^(1/6) Pi^(3/2) r)) (z (2 Pi MeijerG[{{1 - 1/(3 r)}, {1/6, 2/3}}, {{0, 0, 1/3, 1/3}, {-(1/(3 r))}}, (2/3)^(2/3) a z^r, 1/3] + (3 Log[a z^r] - 2 Log[(a z^r)^(3/2)]) MeijerG[{{1/6, 2/3, 1 - 1/(3 r)}, {}}, {{0, 1/3}, {0, 1/3, -(1/(3 r))}}, (2/3)^(2/3) a z^r, 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