Explore: Zonal Polynomials

zonal polynomial is a multivariate symmetric homogeneous polynomial. The zonal polynomials form a basis of the space of symmetric polynomials. Zonal polynomials

plasma Zonal polynomial, a symmetric multivariate polynomial Zonal pelargonium, a type of pelargoniums Zonal tournaments in chess: see Interzonal#Zonal tournaments

Jack polynomial, introduced by Henry Jack. The Jack polynomial is a homogeneous, symmetric polynomial which generalizes the Schur and zonal polynomials, and

harmonic polynomials  R 3 → C  that are homogeneous of degree  ℓ } . {\displaystyle \mathbf {A} _{\ell }=\left\{{\text{harmonic polynomials }}\mathbb

since the Legendre polynomials are the special case of the ultraspherical polynomial when α = 1 / 2 {\displaystyle \alpha =1/2} . The zonal spherical harmonics

In mathematics, Gegenbauer polynomials or ultraspherical polynomials C(α) n(x) are orthogonal polynomials on the interval [−1,1] with respect to the weight

of Legendre's differential equation. The Legendre polynomials and the associated Legendre polynomials are also solutions of the differential equation in

In mathematics, a polynomial p {\displaystyle p} whose Laplacian is zero is termed a harmonic polynomial. The harmonic polynomials form a subspace of the

American statistician conducting research on multivariate statistics, zonal polynomials, distance correlation, total positivity, and hypergeometric functions

In mathematics, Macdonald polynomials Pλ(x; t,q) are a family of orthogonal symmetric polynomials in several variables, introduced by Macdonald in 1987