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BesselI




Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselI[nu,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Power arguments





http://functions.wolfram.com/03.02.21.0026.01









  


  








Input Form





Integrate[(z^(\[Alpha] - 1) BesselI[\[Nu], a z^r])/E^(a z^r), z] == (z^\[Alpha] (a z^r)^\[Nu] HypergeometricPFQ[{1/2 + \[Nu], \[Alpha]/r + \[Nu]}, {1 + \[Alpha]/r + \[Nu], 1 + 2 \[Nu]}, -2 a z^r])/ 2^\[Nu]/((\[Alpha] + r \[Nu]) Gamma[1 + \[Nu]])








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