JackCombination: Symmetric polynomial in terms of Jack polynomials

In jack: Jack, Zonal, Schur, and Other Symmetric Polynomials

Symmetric polynomial in terms of Jack polynomials

Description

Expression of a symmetric polynomial as a linear combination of Jack polynomials.

Usage

JackCombination(qspray, alpha, which = "J", check = TRUE)

Arguments

qspray	a qspray object or a symbolicQspray object defining a symmetric polynomial
alpha	Jack parameter, must be coercible to a bigq number
which	which Jack polynomials, "J", "P", "Q" or "C"
check	Boolean, whether to check the symmetry of qspray

Value

A list defining the combination. Each element of this list is a list with two elements: coeff, which is a bigq number if qspray is a qspray polynomial or a ratioOfQsprays if qspray is a symbolicQspray polynomial, and the second element of the list is lambda, an integer partition; then this list corresponds to the term coeff * JackPol(n, lambda, alpha, which), where n is the number of variables in the symmetric polynomial qspray.

jack documentation built on Sept. 11, 2024, 6:34 p.m.