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Homework Statement
Using log taylor expansion to express cumulants in terms of moments
I have worked through the expansion ##log(1+\epsilon)= ...## see thumbnail and that's ok; my question is why does the expansion hold, i.e. all i can see is it must be that ##k## is small how is this defined as so?
In all my studies on fourier transforms, I don't ever recall talking about the size of the transform variable being small (minus the exception of perhaps a boundary condition, and then k is a function of L and then as L gets large k is small) but why here would we require k small, and why isn't this mentioned?
Homework Equations
my lectures notes here:
The Attempt at a Solution
as above
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