English Dictionary

analytic continuation

名詞

可算名詞 不可算名詞

(mathematical analysis) The practice of extending analytic functions. / (mathematical analysis) An extension of an analytic function which is itself analytic.

日本語の意味

解析関数を保持したまま関数を拡張する操作または概念 / 解析的性質を維持する関数の延長とその過程

The proof relied heavily on analytic continuation to extend the domain of the function beyond its circle of convergence.

その証明は解析接続に大きく依存しており、収束円の外側まで関数の定義域を拡張した。

意味（1）

(mathematical analysis) The practice of extending analytic functions.

The standard method of analytic continuation starts with a function f(z) defined by its power-series expansion (7.5-4) inside some circle |z-a|=r.

意味（2）

(mathematical analysis) An extension of an analytic function which is itself analytic.

Using (2.6), (2.15)-(2.18) and (2.54) in the same way as in the cases considered earlier, we get that the series (0.14) determines the analytic continuation of the Green function of the second boundary value problem into the domain K_B∩|k|<𝛽 with the property (0.23).

analytic continuations （ plural ）