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variants of this functions
Log






Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Integration > Indefinite integration > Involving the direct function





http://functions.wolfram.com/01.04.21.0076.01









  


  










Input Form





Integrate[(z^(\[Alpha] - 1) Log[z]^n)/(1 - z), z] == z^\[Alpha] Sum[Binomial[n, j] (-1)^j j! Log[z]^(n - j) \[Alpha]^(-j - 1) HypergeometricPFQ[{1, Subscript[a, 1], \[Ellipsis], Subscript[a, j + 1]}, {1 + Subscript[a, 1], \[Ellipsis], 1 + Subscript[a, j + 1]}, z], {j, 0, n}] /; Subscript[a, 1] == Subscript[a, 2] == \[Ellipsis] == Subscript[a, n + 1] == \[Alpha] && Element[n, Integers] && n >= 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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