I understand that $$\prod\limits_{m=1}^N \left(1-R^mA\right)$$ is a polynomial in $A$, and so can be written as $\sum\limits_{k=0}^N c_k A^k$ for some coefficients $c_k$.
I can't seem to figure out a closed form expression of $c_k$, any ideas?
2026-03-26 11:18:30.1774523910
Finding the coefficient in the expansion of $\prod\limits_{m=1}^N \left(1-R^mA\right)$
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Is the formula (4) on http://mathworld.wolfram.com/q-PochhammerSymbol.html what you want?