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AiryBi






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBi[z] > Integration > Indefinite integration > Involving functions of the direct function and elementary functions > Involving elementary functions of the direct function and elementary functions > Involving powers of the direct function and a power function > Power arguments





http://functions.wolfram.com/03.06.21.0044.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) AiryBi[a z^r]^2, z] == (1/(3 r)) (2 (2/3)^(1/3) Sqrt[Pi] z^\[Alpha] MeijerG[{{1 - \[Alpha]/(3 r)}, {5/6}}, {{1/3}, {0, 2/3, -(\[Alpha]/(3 r))}}, (2/3)^(2/3) a z^r, 1/3]) + (z^\[Alpha] MeijerG[{{1 - \[Alpha]/(3 r)}, {5/6}}, {{0, 1/3, 2/3}, {-(\[Alpha]/(3 r))}}, (2/3)^(2/3) a z^r, 1/3])/ (2 2^(2/3) 3^(1/3) Pi^(3/2) r)










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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