Negative Binomial Series

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Section 12.3 Negative Binomial Series

$(a+b)^{-n} = \sum_{k=0}^{\infty} {\binom{-n}{k} a^k b^{-n-k}}$

Theorem 12.3.1 Alternate Form for Negative Binomial Series

$(a+b)^{-n} = \sum_{k=0}^{\infty} {(-1)^k \binom{n+k-1}{k} a^k b^{-n-k}}$