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variants of this functions
KelvinKei






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinKei[nu,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/03.19.20.0015.01









  


  










Input Form





D[KelvinKei[\[Nu], z], {z, n}] == 2^(-1 - 3 (n/2)) (I - 1)^n (Sum[Binomial[n, 2 k] ((-I) (1 - I^n) KelvinKer[4 k - n + \[Nu], z] + (1 + I^n) KelvinKei[4 k - n + \[Nu], z]), {k, 0, Floor[n/2]}] + Sum[Binomial[n, 2 k + 1] (I (1 - I^n) KelvinKer[2 + 4 k - n + \[Nu], z] - (1 + I^n) KelvinKei[2 + 4 k - n + \[Nu], z]), {k, 0, Floor[(n - 1)/2]}]) /; Element[n, Integers] && n >= 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)





2007-05-02