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BesselI




Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselI[nu,z] > Integration > Indefinite integration > Involving functions of the direct function > Involving elementary functions of the direct function > Involving powers of the direct function > Power arguments





http://functions.wolfram.com/03.02.21.0047.01









  


  








Input Form





Integrate[BesselI[\[Nu], a z^r]^2, z] == (z (a z^r)^(2 \[Nu]) HypergeometricPFQ[{1/2 + \[Nu], 1/(2 r) + \[Nu]}, {1 + \[Nu], 1 + 1/(2 r) + \[Nu], 1 + 2 \[Nu]}, a^2 z^(2 r)])/4^\[Nu]/ ((1 + 2 r \[Nu]) Gamma[1 + \[Nu]]^2)








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