Binomial series
= Binomial series
{title2=$(1+x)^\alpha$}
{wiki}
For $|x|<1$, the binomial series is
$$
(1+x)^\alpha=\sum_{n=0}^{\infty}\binom{\alpha}{n}x^n,
\qquad
\binom{\alpha}{n}=\frac{\alpha(\alpha-1)\cdots(\alpha-n+1)}{n!}.
$$
= Binomial series
{title2=$(1+x)^\alpha$}
{wiki}
For $|x|<1$, the binomial series is
$$
(1+x)^\alpha=\sum_{n=0}^{\infty}\binom{\alpha}{n}x^n,
\qquad
\binom{\alpha}{n}=\frac{\alpha(\alpha-1)\cdots(\alpha-n+1)}{n!}.
$$