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variants of this functions
KelvinKei




Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinKei[z] > Series representations > Generalized power series > Expansions on branch cuts





http://functions.wolfram.com/03.15.06.0008.01









  


  








Input Form





KelvinKei[z] == Sum[(1/k!) ((-(1/4)) MeijerG[{{(1 - k)/4, (2 - k)/4, (3 - k)/4}, {}}, {{-(k/4), (2 - k)/4, (2 - k)/4}, {0, 1/4, 1/2, 3/4}}, x/4, 1/4] - 2 Pi I Floor[Arg[-x + z]/(2 Pi)] MeijerG[{{(1 - k)/4, (3 - k)/4}, {}}, {{(2 - k)/4}, {0, 1/4, 1/2, 3/4, -(k/4)}}, x/4, 1/4]) (z - x)^k, {k, 0, Infinity}] /; Element[x, Reals] && x < 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