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Results tagged with power-series
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user 101078
18
votes
Accepted
Singularities of power series
Let $f(z)$ be your function. Then $g(z)=f(z)(1-z)$ is equal to
$$
(1-z)\sum_n \ln(n)z^n=\sum_{n\geq 2} (\ln(n)-\ln(n-1))z^n
$$
Now, $\ln(n)-\ln(n-1)=\frac{1}{n}+O\left(\frac{1}{n^2}\right)$, which gi …
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