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AiryAi




Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAi[z] > Integration > Definite integration > Involving the direct function





http://functions.wolfram.com/03.05.21.0084.01









  


  








Input Form





Integrate[AiryAi[x]/(x - z), {x, -Infinity, Infinity}] == I Pi (AiryAi[z] + (I/(6 Pi)) (2 Pi AiryBi[z] - 6 z^2 Hypergeometric0F1[4/3, z^3/9] HypergeometricPFQ[{1/3}, {2/3, 4/3}, z^3/9] + 3 z^2 Hypergeometric0F1[2/3, z^3/9] HypergeometricPFQ[{2/3}, {4/3, 5/3}, z^3/9])) /; Im[z] > 0








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)





2003-08-21