jack (version 2.0.0)

JackPol: Jack polynomial

Description

Returns the Jack polynomial.

Usage

JackPol(n, lambda, alpha, algorithm = "DK", basis = "canonical")

Arguments

n

number of variables, a positive integer

lambda

an integer partition, given as a vector of decreasing integers

alpha

parameter of the Jack polynomial, always a positive number for algorithm = "DK", a positive number or a positive bigq rational number for algorithm = "naive"

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

Value

A polynomial (mvp object; see mvp-package) or a character string if basis = "MSF".

Examples

# NOT RUN {
JackPol(3, lambda = c(3,1), alpha = gmp::as.bigq(2,3),
                  algorithm = "naive")
JackPol(3, lambda = c(3,1), alpha = 2/3, algorithm = "DK")
JackPol(3, lambda = c(3,1), alpha= gmp::as.bigq(2,3),
        algorithm = "naive", basis = "MSF")
# }