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BesselI






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselI[nu,z] > Integration > Indefinite integration > Involving direct function and Bessel-type functions > Involving Bessel functions > Involving Bessel J > Power arguments





http://functions.wolfram.com/03.02.21.0078.01









  


  










Input Form





Integrate[BesselJ[-\[Nu], a z^r] BesselI[\[Nu], a z^r], z] == (1/(4 r)) (Sqrt[Pi] z MeijerG[{{1 - 1/(4 r)}, {(1 + \[Nu])/2}}, {{0, 1/2}, {-(1/(4 r)), -(\[Nu]/2), \[Nu]/2, (1 + \[Nu])/2}}, (a z^r)/(2 Sqrt[2]), 1/4])










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