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!).
Значение
значений: 2The 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
(шире)The binomial theorem.
Переводы
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По значениям 1
Maclaurin series expansion of (1 + x)α:
Формы
мн. число: binomial series| Ед. число | binomial series |
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| Мн. число | binomial series |
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