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variants of this functions
KelvinBei




Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[z] > Differentiation > Symbolic differentiation





http://functions.wolfram.com/03.13.20.0005.01









  


  








Input Form





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








Standard Form





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MathML Form







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</ci> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02