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variants of this functions
PolyLog




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > PolyLog[nu,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function





http://functions.wolfram.com/10.08.21.0005.01









  


  








Input Form





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





2001-10-29