binomial series
binomial series · binomial series
binomische Reihe
The Maclaurin series expansion of the function f =^α, for arbitrary complex αThe Maclaurin series expansion of the function f(x) = (1 + x)^α, for arbitrary complex α; the series ∑ₖ₌₀ ᪲α choose kxᵏ, where α choose k=(α(α-1)(α-2)…(α-k+1))/(k!).
Meaning
2 sensesThe Maclaurin series expansion of the function f(x) = (1 + x)^α, for arbitrary complex α; the series ∑ₖ₌₀ ᪲α choose kxᵏ, where α choose k=(α(α-1)(α-2)…(α-k+1))/(k!).
2010, James Stewart, Calculus: Concepts and Contexts, Cengage Learning, page 612, Thus, by the Ratio Test, the binomial series converges if |x| < 1 and diverges if |x| > 1.
binomische Reihe
(broadly)The binomial theorem.
Translations
1 languagesDeutsch
By meaning 1
Maclaurin series expansion of (1 + x)α:
Forms
plural: binomial series| Singular | binomial series |
|---|---|
| Plural | binomial series |
irregular