Homework Statement

I need to find a transfer function using the given functions which i have no problem with. But i don't know how to exactly define the Region Of Convergence of the resulting transfer function.

I have h1[n] and h2[n] as to be convoluted to find the transfer function.

Homework Equations

$$h_{1}[n]\ast h_{2}[n]\stackrel{Z}{\rightarrow}H_{1}(z) H_{2}(z) = H(z)$$