ThmDex – An index of mathematical definitions, results, and conjectures.
Result R3995 on D266: Identity ring
Complex binomial theorem
Formulation 0
Let $z, w \in \mathbb{C}$ each be a D1207: Complex number.
Let $n \in \mathbb{N}$ be a D996: Natural number.
Then \begin{equation} (z + w)^n = \sum_{m = 0}^n \binom{n}{m} z^m w^{n - m} \end{equation}