Difference between revisions of "Binomial series"
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Revision as of 14:29, 9 August 2016
Theorem
The following formula holds for any $\alpha \in \mathbb{C}$: $$(1+x)^{\alpha} = \displaystyle\sum_{k=1}^{\infty} {\alpha \choose k} x^k,$$ where ${\alpha \choose k}$ denotes the binomial coefficient.
