Polylogarithm question

MathematicalPhysicist

Gold Member
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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?
 

HallsofIvy

Science Advisor
Homework Helper
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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).
 

MathematicalPhysicist

Gold Member
4,121
146
so is this what meant in the webpage?
 

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