jack (version 6.1.0)

ZonalPolR: Zonal polynomial

Description

Returns the zonal polynomial.

Usage

ZonalPolR(n, lambda, algorithm = "DK", basis = "canonical", exact = TRUE)

Value

A mvp multivariate polynomial (see mvp-package), or a qspray multivariate polynomial if

exact = TRUE and algorithm = "DK", or a character string if basis = "MSF".

Arguments

n

number of variables, a positive integer

lambda

an integer partition, given as a vector of decreasing integers

algorithm

the algorithm used, either "DK" or "naive"

basis

the polynomial basis for algorithm = "naive", either "canonical" or "MSF" (monomial symmetric functions); for algorithm = "DK" the canonical basis is always used and this parameter is ignored

exact

logical, whether to get rational coefficients

Examples

ZonalPolR(3, lambda = c(3,1), algorithm = "naive")
ZonalPolR(3, lambda = c(3,1), algorithm = "DK")
ZonalPolR(3, lambda = c(3,1), algorithm = "DK", exact = FALSE)
ZonalPolR(3, lambda = c(3,1), algorithm = "naive", basis = "MSF")