SkewMacdonaldPol {jack}

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.