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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 hyperbolic functions and a power function > Involving sinh and power > Linear arguments





http://functions.wolfram.com/03.02.21.0036.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) Sinh[a z] BesselI[\[Nu], a z], z] == (1/((1 + \[Alpha] + \[Nu]) Gamma[1 + \[Nu]])) ((z^\[Alpha] (a z)^(1 + \[Nu]) HypergeometricPFQ[ {3/4 + \[Nu]/2, 5/4 + \[Nu]/2, 1/2 + \[Alpha]/2 + \[Nu]/2}, {3/2, 3/2 + \[Alpha]/2 + \[Nu]/2, 1 + \[Nu], 3/2 + \[Nu]}, a^2 z^2])/ 2^\[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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