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Polylogarithm question

  1. Nov 6, 2003 #1

    MathematicalPhysicist

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    Gold Member

    the equation of pl is:
    (infinity)
    y= sum x^i/i^n
    i=1
    in here http://www.2dcurves.com/exponential/exponentialpo.html it states in the case n=1 it is a logarithm i want to know why?

    for all of my knowledge it should be y=x/1+x^2/2+x^3/3+....
    is this the taylor expansion series for a logarithm?
     
  2. jcsd
  3. Nov 6, 2003 #2

    HallsofIvy

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    Not exactly. For one thing that series gives y= 0 when x= 0 and log(x) is not defined for x=0.

    The series you give is the Taylor's series for ln(x+1).
     
  4. Nov 7, 2003 #3

    MathematicalPhysicist

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    Gold Member

    so is this what meant in the webpage?
     
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