abel, binomial, theorem, named, after, niels, henrik, abel, mathematical, identity, involving, sums, binomial, coefficients, states, following, displaystyle, binom, contents, example, case, also, referencesexample, editthe, case, edit, displaystyle, begin, ali. Abel s binomial theorem named after Niels Henrik Abel is a mathematical identity involving sums of binomial coefficients It states the following k 0 m m k w m k m k 1 z k k w 1 z w m m displaystyle sum k 0 m binom m k w m k m k 1 z k k w 1 z w m m Contents 1 Example 1 1 The case m 2 2 See also 3 ReferencesExample EditThe case m 2 Edit 2 0 w 2 1 z 0 0 2 1 w 1 0 z 1 1 2 2 w 0 1 z 2 2 w 2 2 z 1 z 2 2 w z w 2 2 w displaystyle begin aligned amp quad binom 2 0 w 2 1 z 0 0 binom 2 1 w 1 0 z 1 1 binom 2 2 w 0 1 z 2 2 amp w 2 2 z 1 frac z 2 2 w amp frac z w 2 2 w end aligned See also EditBinomial theorem Binomial typeReferences EditWeisstein Eric W Abel s binomial theorem MathWorld This number theory related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Abel 27s binomial theorem amp oldid 1089032992, wikipedia, wiki, book, books, library,