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ExpIntegralE




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > ExpIntegralE[nu,z] > Series representations > Generalized power series > Expansions at generic point z==z0 > For the function itself





http://functions.wolfram.com/06.34.06.0023.01









  


  








Input Form





ExpIntegralE[\[Nu], z] == Gamma[1 - \[Nu]] Sum[(1/(Subscript[z, 0]^k k!)) ((1/Subscript[z, 0])^(\[Nu] Floor[Arg[z - Subscript[z, 0]]/(2 Pi)]) Subscript[z, 0]^(\[Nu] - 1 + \[Nu] Floor[Arg[z - Subscript[z, 0]]/ (2 Pi)]) (-1)^k Pochhammer[1 - \[Nu], k] - HypergeometricPFQRegularized[{1, 1 - \[Nu]}, {1 - k, 2 - \[Nu]}, -Subscript[z, 0]]) (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