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jack (version 6.1.0)

SkewMacdonaldPol: Skew Macdonald polynomial

Description

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

Usage

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

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.

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"