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Abel’s binomial theorem

Niels Abel.

Abel’s binomial theorem, named after Niels Abel, is a mathematical identity involving sums of binomial coefficients. It states that:

\displaystyle \sum_{k=0}^m\dbinom{m}{k}\left(w+m-k\right)^{m-k-1}\left(z+k\right)^k=w^{-1}\left(z+w+m\right)^m

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