  We investigate the joint convergence of independent random Toeplitz matrices
with complex input entries that have a pair-correlation structure, along with
deterministic Toeplitz matrices and the backward identity permutation matrix.
We also extend the above results to generalized Toeplitz and related matrices.
The limits depend only on the correlation structure but are universal
otherwise, in that they do not depend on the underlying distributions of the
entries. In particular, these results provide the joint convergence of
asymmetric Hankel matrices. Earlier results in the literature on the joint
convergence of random symmetric Toeplitz and symmetric Hankel matrices with
real entries follow as special cases.
