Last Updated：2025/12/05

(mathematics) Any member of a certain polynomial sequence whose nth term is of the form p_n(x)=x(x-an)ⁿ⁻¹.

音声機能が動作しない場合はこちらをご確認ください

See correct answer

Abel polynomial

Source Word

Abel polynomial

(mathematics) Any member of a certain polynomial sequence whose nth term is of the form p_n(x)=x(x-an)ⁿ⁻¹.

Japanese Meaning

数学におけるアベル多項式は、特定の多項式列の一員であり、第 n 項が pₙ(x)=x(x-an)ⁿ⁻¹ の形をとる多項式です。

The Abel polynomial p_n(x)=x(x-an)^{n-1} plays a central role in combinatorial identities and finite-difference calculus.

アーベル多項式 p_n(x)=x(x - a n)^{n-1} は、組合せ恒等式や有限差分解析で中心的な役割を果たす。

Sense（1）

(mathematics) Any member of a certain polynomial sequence whose nth term is of the form p_n(x)=x(x-an)ⁿ⁻¹.

Abel polynomials

（ plural ）