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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 z==0 > For the function itself > Special cases





http://functions.wolfram.com/03.18.06.0027.01









  


  










Input Form





KelvinBer[-2 n, z] == ((z^(2 n) Cos[(n Pi)/2])/(2^(2 n) (2 n)!)) Sum[((-1)^k (z/4)^(4 k))/(Pochhammer[1/2, k] Pochhammer[1/2 + n, k] Pochhammer[1 + n, k] k!), {k, 0, Infinity}] + ((2^(-2 - 2 n) z^(2 + 2 n) Sin[(n Pi)/2])/(2 n + 1)!) Sum[((-1)^k (z/4)^(4 k))/(Pochhammer[3/2, k] Pochhammer[3/2 + n, k] Pochhammer[1 + n, k] k!), {k, 0, Infinity}] /; 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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