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CosIntegral






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > CosIntegral[z] > Series representations > Generalized power series > Expansions on branch cuts > For the function itself





http://functions.wolfram.com/06.38.06.0015.01









  


  










Input Form





CosIntegral[z] == 2 I Pi Floor[Arg[z - x]/(2 Pi)] + CosIntegral[x] + Sum[((-1)^(k - 1)/(x^k k) - ((Sqrt[Pi] x^(2 - k) 2^(-3 + k))/k!) HypergeometricPFQRegularized[{1, 1}, {2, (3 - k)/2, 2 - k/2}, -(x^2/4)]) (z - x)^k, {k, 1, 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





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