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ExpIntegralEi




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > ExpIntegralEi[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Power arguments





http://functions.wolfram.com/06.35.21.0026.01









  


  








Input Form





Integrate[(z^(\[Alpha] - 1) ExpIntegralEi[a z^r])/E^(a z^r), z] == (1/(2 r)) (z^\[Alpha] ((Gamma[\[Alpha]/r, a z^r] (Log[1/(z^r a)] + 2 Log[(-a) z^r] - Log[a z^r]))/(a z^r)^(\[Alpha]/r) - 2 MeijerG[{{0, 1 - \[Alpha]/r}, {}}, {{0, 0}, {-(\[Alpha]/r)}}, (-a) z^r]))








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)





2001-10-29