Last Updated：2025/11/26

(mathematics) Any of a two-parameter family of orthogonal polynomials indexed by a positive weight of a root system.

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Macdonald polynomial

Source Word

Macdonald polynomial

Noun

(mathematics) Any of a two-parameter family of orthogonal polynomials indexed by a positive weight of a root system.

Japanese Meaning

数学における、正の重みを示す根系に基づいた2パラメーター系の直交多項式族。

The Macdonald polynomial arises naturally in the study of symmetric functions and affine Hecke algebras.

ルート系の正の重みで添字付けされた2パラメータ族の直交多項式は、対称関数やアフィンHecke代数の研究において自然に現れます。

Sense（1）

(mathematics) Any of a two-parameter family of orthogonal polynomials indexed by a positive weight of a root system.

Macdonald polynomials

（ plural ）