Estimating the $k$th coefficient of $(f(z){)}^n$ when $k$ is not too large

Valerio De Angelis

We derive asymptotic estimates for the coefficient of $z^k$ in ${\left(f\left(z\right)\right)}^n$ when $n\to \infty$ and $k$ is of order $n^{\delta }$, where $0<\delta <1,$ and…