Computer science asymptotic terminology I have been hearing the phrases quasipolynomial, superpolynomial and subexponential.

I think know what quasipolynomial and subexponential is. I believe these are functions respectively of form $n^{\log^c n}$ and $n^{n^{1/c}}$ for some $c&gt;1$.

What does superpolynomial mean?
Superpolynomial means $n^{\omega(1)}$, that is, growing faster than any polynomial. More clearly, $n^{f(n)}$ for some function $f$ satisfying $\lim_{n\to\infty} f(n) = \infty$.