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BesselK






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselK[nu,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving exp > Linear arguments





http://functions.wolfram.com/03.04.21.0017.01









  


  










Input Form





Integrate[BesselK[\[Nu], a z]/E^(a z), z] == ((-2^(-\[Nu])) Pi z \[Nu] Csc[Pi \[Nu]] (4^\[Nu] Gamma[-2 \[Nu]] HypergeometricPFQRegularized[ {1/2 - \[Nu], 1 - \[Nu]}, {1 - 2 \[Nu], 2 - \[Nu]}, -2 a z] + (a z)^(2 \[Nu]) Gamma[2 \[Nu]] HypergeometricPFQRegularized[ {1/2 + \[Nu], 1 + \[Nu]}, {2 + \[Nu], 1 + 2 \[Nu]}, -2 a z]))/ (a z)^\[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