Last Updated
：2025/11/21
analytic function
Noun
Japanese Meaning
解析関数。任意の点の近傍において、その点でのテイラー級数展開（無限項の級数）によって表現できる、無限回微分可能な関数。数学的解析、特に複素解析や実解析で用いられる概念。
（ plural ）
Quizzes for review
(mathematical analysis) Any smooth (infinitely differentiable) function f, defined on an open set D⊆ℂ( textit or⊆ℝ), whose value in some neighbourhood of any given point x_0∈D is given by the Taylor series ∑ₙ₌₀ ᪲(f⁽ⁿ⁾(x_0))/(n!)(x-x_0)ⁿ.
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analytic function
An analytic function defined on an open subset of the complex plane is completely determined by its Taylor series around any point in that domain.
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An analytic function defined on an open subset of the complex plane is completely determined by its Taylor series around any point in that domain.
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