  We introduce a new family of symmetric multivariate polynomials, whose
coefficients are meromorphic functions of two parameters $(q,t)$ and polynomial
in a further two parameters $(u,v)$. We evaluate these polynomials explicitly
as a matrix product. At $u=v=0$ they reduce to Macdonald polynomials, while at
$q=0$, $u=v=s$ they recover a family of inhomogeneous symmetric functions
originally introduced by Borodin.
