I have come across some Laurent series in which the denominator of a fraction contains a power series. Looking around I came across this Calculate Laurent series for $1/ \sin(z)$ which suggests that it is possible to calculate the reciprocal of a series up to a certain number of term. I have looked at the formula and because of the abstract notation, it is not clear to me how this formula is applied. So for example if I wanted to find the reciprocal of the following polynomial: $$x - 2x^2 + 3x^3 - 4x^4$$ How would I compute this?
2026-02-23 00:30:15.1771806615
Cauchy product for the reciprocal of the polynomial $x - 2x^2 + 3x^3 - 4x^4$
113 Views Asked by user250965 https://math.techqa.club/user/user250965/detail AtRelated Questions in POLYNOMIALS
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