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BesselI






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselI[nu,z] > Differentiation > Fractional integro-differentiation > With respect to z





http://functions.wolfram.com/03.02.20.0016.01









  


  










Input Form





D[BesselI[\[Nu], z], {z, \[Alpha]}] == 2^(\[Alpha] - 2 \[Nu]) Sqrt[Pi] z^(\[Nu] - \[Alpha]) Gamma[1 + \[Nu]] HypergeometricPFQRegularized[ {(1 + \[Nu])/2, (2 + \[Nu])/2}, {(1/2) (1 - \[Alpha] + \[Nu]), (1/2) (2 - \[Alpha] + \[Nu]), 1 + \[Nu]}, z^2/4] /; !(Element[-\[Nu], Integers] && -\[Nu] > 0)










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