  Kerov functions provide an infinite-parametric deformation of the set of
Schur functions, which is a far-going generalization of the 2-parametric
Macdonald deformation. In this paper, we concentrate on a particular subject:
on Kerov functions labeled by the Young diagrams associated with the conjugate
and, more generally, composite representations. Our description highlights
peculiarities of the Macdonald locus (ideal) in the space of the Kerov
parameters, where some formulas and relations get drastically simplified.
However, even in this case, they substantially deviate from the Schur case,
which illustrates the problems encountered in the theory of link
hyperpolynomials. An important additional feature of the Macdonald case is
uniformization, a possibility of capturing the dependence on $N$ for symmetric
polynomials of $N$ variables into a single variable $A=t^N$, while in the
generic Kerov case the $N$-dependence looks considerably more involved.
