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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/03.05.21.0058.01









  


  










Input Form





Integrate[BesselK[\[Nu], (2/3) (a z^r)^(3/2)] AiryAi[a z^r], z] == (-(1/(Sqrt[Pi] r))) ((2^(-(7/3) - \[Nu]) 3^(-(7/6) - \[Nu]) z Csc[Pi \[Nu]] (4^\[Nu] ((a z^r)^(3/2))^(2 \[Nu]) MeijerG[{{(1/6) (1 - 3 \[Nu]), (1/6) (4 - 3 \[Nu]), 1 - 1/(3 r) - \[Nu]/2}, {}}, {{0, 1/3}, {1/3 - \[Nu], -\[Nu], -((2 + 3 r \[Nu])/(6 r))}}, (2/3)^(2/3) a z^r, 1/3] - 9^\[Nu] MeijerG[{{1 - 1/(3 r) + \[Nu]/2, (1/6) (1 + 3 \[Nu]), (1/6) (4 + 3 \[Nu])}, {}}, {{0, 1/3}, {\[Nu], 1/3 + \[Nu], (-2 + 3 r \[Nu])/(6 r)}}, (2/3)^(2/3) a z^r, 1/3]))/ ((a z^r)^(3/2))^\[Nu])










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