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BesselK






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.04.21.0087.01









  


  










Input Form





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










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





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