The AFLT $q$-Morris constant term identity

Abstract

It is well-known that the Selberg integral is equivalent to the Morris constant term identity. More generally, Selberg type integrals can be turned into constant term identities for Laurent polynomials. In this paper, by extending the Gessel--Xin method of the Laurent series proof of constant term identities, we obtain an AFLT type $q$-Morris constant term identity. That is a $q$-Morris type constant term identity for a product of two Macdonald polynomials.