given the infinite power series(adsbygoogle = window.adsbygoogle || []).push({});

[tex] f(x)= \sum_{n=0}^{\infty}a_ {n}x^{n} [/tex]

if we know ALL the a(n) is there a straight formula to get the coefficients of the b(n)

[tex] \frac{1}{f(x)}= \sum_{n=0}^{\infty}b_ {n}x^{n} [/tex]

for example from the chain rule for 1/x and f(x) could be obtain some combinatorial argument to get the b(n) from the a(n) ??

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# Series identity

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