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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 products of the direct function and a power function > Power arguments





http://functions.wolfram.com/03.06.21.0046.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) AiryBi[(-a) z^r] AiryBi[a z^r], z] == (1/(12 2^(2/3) 3^(1/3) Pi^(3/2) r)) (z^\[Alpha] (-8 Pi^2 MeijerG[{{1 - \[Alpha]/(6 r)}, {}}, {{2/3}, {0, 1/6, 1/3, -(\[Alpha]/(6 r))}}, (a z^r)/(2^(1/3) 3^(2/3)), 1/6] + 3 MeijerG[{{1 - \[Alpha]/(6 r)}, {1/6}}, {{0, 1/6, 1/3, 2/3}, {1/6, -(\[Alpha]/(6 r))}}, (a z^r)/(2^(1/3) 3^(2/3)), 1/6]))










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