zonal polynomial
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Zonal polynomial — In mathematics, a zonal polynomial is a multivariate symmetric homogeneous polynomial. The zonal polynomials form a basis of the space of symmetric polynomials.The zonal polynomials are the alpha=2 case of the C normalization of the Jack function … Wikipedia
Zonal — can refer to: * Zonal and meridional, directions on a globe * Zonal and poloidal, directions in a toroidal magnetically confined plasma * Zonal polynomial, a symmetric multivariate polynomial … Wikipedia
Macdonald polynomial — In mathematics, Macdonald polynomials P λ are a two parameter family of orthogonal polynomials indexed by a positive weight λ of a root system, introduced by Ian G. Macdonald (1987). They generalize several other families of orthogonal… … Wikipedia
Jack function — In mathematics, the Jack function, introduced by Henry Jack, is a homogeneous, symmetric polynomial which generalizes the Schur and zonal polynomials,and is in turn generalized by the Macdonald polynomials.DefinitionThe Jack function J… … Wikipedia
List of mathematics articles (Z) — NOTOC Z Z channel (information theory) Z factor Z function Z group Z matrix (mathematics) Z notation Z order (curve) Z test Z transform Z* theorem Zadoff–Chu sequence Zahorski theorem Zakai equation Zakharov–Schulman system Zakharov system ZAMM… … Wikipedia
N!-conjecture — In mathematics, the n! conjecture is the conjecture that the dimension of a certain bi graded module of diagonal harmonics is n!. It was made by A. M. Garsia and proved by M. Haiman. It implies Macdonald s positivity conjecture about his… … Wikipedia
Spherical harmonics — In mathematics, the spherical harmonics are the angular portion of an orthogonal set of solutions to Laplace s equation represented in a system of spherical coordinates. Spherical harmonics are important in many theoretical and practical… … Wikipedia