Binomial series

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Theorem[edit]

The following formula holds for any $\alpha \in \mathbb{C}$: $$(1+x)^{\alpha} = \displaystyle\sum_{k=1}^{\infty} {\alpha \choose k} x^k,$$ where $\displaystyle{\alpha \choose k}$ denotes the binomial coefficient.

Proof[edit]

References[edit]