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variants of this functions
KelvinBer






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBer[nu,z] > Series representations > Generalized power series > Expansions at generic point z==z0





http://functions.wolfram.com/03.18.06.0007.01









  


  










Input Form





KelvinBer[\[Nu], z] == (1/Subscript[z, 0])^(\[Nu] Floor[Arg[z - Subscript[z, 0]]/(2 Pi)]) Subscript[z, 0]^(\[Nu] Floor[Arg[z - Subscript[z, 0]]/(2 Pi)]) Sum[((2^(-1 - 3 (k/2)) (I - 1)^k)/k!) (Sum[Binomial[k, 2 j] (I (1 - I^k) KelvinBei[4 j - k + \[Nu], Subscript[z, 0]] + (1 + I^k) KelvinBer[4 j - k + \[Nu], Subscript[z, 0]]), {j, 0, Floor[k/2]}] + Sum[Binomial[k, 2 j + 1] ((-I) (1 - I^k) KelvinBei[2 + 4 j - k + \[Nu], Subscript[z, 0]] - (1 + I^k) KelvinBer[2 + 4 j - k + \[Nu], Subscript[z, 0]]), {j, 0, Floor[(k - 1)/2]}]) (z - Subscript[z, 0])^k, {k, 0, Infinity}]










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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