transcendental function

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

特定用法

(mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.

日本語の意味

数学解析における超越関数：変数に対して代数的に独立であり、係数が多項式である多項式方程式の解として表現できない関数。 / 与えられた変数を用いた任意の多項式の関係式を満たさない関数。

英語の意味

(mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.

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Many important constants arise when evaluating a transcendental function at algebraic points, illustrating deep links between analysis and number theory.

代数的な点で変数に対して代数的に独立な関数を評価すると、多くの重要な定数が現れ、解析学と数論の深い結びつきが明らかになります。

詳細

意味（1）

(mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.

An analytic function is transcendental (i.e., is a transcendental function) if and only if its Riemann surface is noncompact.

詳細

意味（2）

(specifically, complex analysis) A meromorphic function on the complex plane that is not a rational function.

transcendental functions （ plural ）