: Mathematics: Abel's binomial theorem

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mathematical analysis > combinatorics > binomial coefficient > Abel's binomial theorem

algebra > combinatorics > binomial coefficient > Abel's binomial theorem

Abel's binomial theorem

Abel's binomial theorem, named after Niels Henrik Abel, is a mathematical identity involving sums of binomial coefficients. It states the following:
${\\displaystyle \\sum _{k=0}^{m}{\inom {m}{k}}(w+m-k)^{m-k-1}(z+k)^{k}=w^{-1}(z+w+m)^{m}.}$

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