SkewMacdonaldPol: Skew Macdonald polynomial

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

Skew Macdonald polynomial

Description

Returns the skew Macdonald polynomial associated to the given skew partition.

Usage

SkewMacdonaldPol(n, lambda, mu, which = "P")

Arguments

n	number of variables, a positive integer
lambda, mu	integer partitions defining the skew partition: lambda is the outer partition and mu is the inner partition (so mu must be a subpartition of lambda)
which	which skew Macdonald polynomial, "P", "Q" or "J"

Value

A symbolicQspray multivariate polynomial, the skew Macdonald polynomial associated to the skew partition defined by lambda and mu. It has two parameters usually denoted by q and t. Substituting q with 0 yields the skew Hall-Littlewood polynomials.

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