binomial series

Meaning

Noun

• The Maclaurin series expansion of the function f(x) = (1 + x)^α, for arbitrary complex α; the series $\backslash textstyle\backslash sum\_\{k=0\}^\backslash infty\{\backslash alpha\; \backslash choose\; k\}\; x^k$, where $\backslash textstyle\{\backslash alpha\; \backslash choose\; k\}\; =\; \backslash frac\{\backslash alpha(\backslash alpha-1)(\backslash alpha-2)\backslash dots(\backslash alpha-k+1)\}\{k!\}$.
• The binomial theorem.

Related

Broader meaning words

• Maclaurin series, power series Taylor series