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variants of this functions
ProductLog






Mathematica Notation

Traditional Notation









Elementary Functions > ProductLog[k,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function





http://functions.wolfram.com/01.32.21.0002.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) ProductLog[k, z], z] == (1/\[Alpha]^2) ((E^(-ProductLog[k, z] - (-1 + \[Alpha]) ProductLog[k, z]) z^\[Alpha] (\[Alpha] Gamma[1 + \[Alpha], (-\[Alpha]) ProductLog[k, z]] - Gamma[2 + \[Alpha], (-\[Alpha]) ProductLog[k, z]]))/ ((-\[Alpha]) ProductLog[k, z])^\[Alpha])










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





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