MacdonaldPol function

Macdonald polynomial

Returns the Macdonald polynomial associated to the given integer partition.

MacdonaldPol(n, lambda, which = "P")

Arguments

• n: number of variables, a positive integer
• lambda: integer partition
• which: which Macdonald polynomial, "P", "Q", or "J"

Returns

A symbolicQspray multivariate polynomial, the Macdonald polynomial associated to the integer partition lambda. It has two parameters usually denoted by $q$

and $t$. Substituting $q$ with $0$ yields the Hall-Littlewood polynomials.