Finding poles of an abstract transfer function When finding the poles of something like the following transfer function, would I be able to write $z=\sqrt[L]{\mu}$ since square roots aren't technically defined on the complex plane?

$$Y(z) = \frac{a_L z^L + a_{L-1}z^{L-1} + ... +a_0}{z^L - \mu}$$

where $a_j,\mu \in\mathbb{C}$, $|\mu|&lt;1$ and L is positive.
For $\mu &gt; 0$, $z^L \in \left ( \sqrt[L]{\mu} \right) e^{j 2\pi n/L} \,\forall\, n \in 1 \cdots L $.

I.e., the roots are evenly spaced on a circle $\sqrt[L]{\mu}$ in radius, and there's an $L$ of a lot of them.