Last Updated
：2025/12/06
radius of convergence
Noun
Japanese Meaning
収束半径（しゅうそくはんけい）－ある冪級数 ∑ cₙ (z-a)ⁿ において、級数が収束する中心 a からの距離の最大値。すなわち、|z-a| がこの値より小さい場合に級数が収束するという一意の数値（0から∞までの値）を示す。
（ plural ）
Quizzes for review
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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radius of convergence
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.
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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.
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