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AiryBiPrime






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBiPrime[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Linear arguments





http://functions.wolfram.com/03.08.21.0013.01









  


  










Input Form





Integrate[(z^(\[Alpha] - 1) AiryBiPrime[a z])/E^((2/3) (a z)^(3/2)), z] == (1/(\[Alpha] Gamma[1/3])) (3^(1/6) z^\[Alpha] HypergeometricPFQ[ {-(1/6), (2 \[Alpha])/3}, {-(1/3), 1 + (2 \[Alpha])/3}, (-(4/3)) (a z)^(3/2)]) + (a^2 z^(2 + \[Alpha]) HypergeometricPFQ[{7/6, 4/3 + (2 \[Alpha])/3}, {7/3, 7/3 + (2 \[Alpha])/3}, (-(4/3)) (a z)^(3/2)])/ (3 3^(1/6) (2 + \[Alpha]) Gamma[5/3])










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