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variants of this functions
KelvinBei






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[nu,z] > Series representations > Generalized power series > Expansions at z==0 > For the function itself > Special cases





http://functions.wolfram.com/03.17.06.0029.01









  


  










Input Form





KelvinBei[-2 n, z] == ((I I^n 2^(-1 - 2 n) (1 - (-1)^n) z^(2 n))/(2 n)!) HypergeometricPFQ[{}, {1/2, 1/2 + n, 1 + n}, -(z^4/256)] + ((I^n 2^(-3 - 2 n) (1 + (-1)^n) z^(2 + 2 n))/(2 n + 1)!) HypergeometricPFQ[{}, {3/2, 1 + n, 3/2 + n}, -(z^4/256)] /; 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