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variants of this functions
KelvinBei






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[nu,z] > Differentiation > Low-order differentiation > With respect to nu





http://functions.wolfram.com/03.17.20.0003.01









  


  










Input Form





Derivative[1, 0][KelvinBei][-n, z] == (-1)^n (Pi/2) KelvinBer[n, z] - (-1)^n KelvinKei[n, z] - ((-1)^n 2^(n - 1) n! Sum[(((-1)^(n - k) z^k)/(2^k ((-k + n) k!))) (Cos[(1/4) (k - n) Pi] KelvinBei[k, z] - Sin[(1/4) (k - n) Pi] KelvinBer[k, z]), {k, 0, n - 1}])/z^n /; 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





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