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AiryAi






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAi[z] > Differentiation > Symbolic differentiation





http://functions.wolfram.com/03.05.20.0003.02









  


  










Input Form





D[AiryAi[z], {z, n}] == (3^(n - 4/3) (3^(2/3) Gamma[1/3] HypergeometricPFQRegularized[{1/3, 1}, {(1 - n)/3, (2 - n)/3, 1 - n/3}, z^3/9] - z Gamma[2/3] HypergeometricPFQRegularized[{2/3, 1}, {(2 - n)/3, 1 - n/3, (4 - n)/3}, z^3/9]))/z^n /; Element[n, Integers] && n >= 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)





2001-10-29