radius of convergence

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

for a power series ∑ₙ₌₀ ᪲c_n(z-a)ⁿ, the unique number R=[0,∞] such that the sum is convergent for |z-a|R

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The radius of convergence R of the power series ∑_{n=0}∞ c_n (z-a)n is the unique number in [0,∞] such that the series converges for |z-a|<R and diverges for |z-a|>R.

詳細

意味（1）

for a power series ∑ₙ₌₀ ᪲c_n(z-a)ⁿ, the unique number R=[0,∞] such that the sum is convergent for |z-a|R

radii of convergence （ plural ）