  We introduce the generalized equidistant Chebyshev polynomials T(k,h) of kind
k of hyperkind h, where k,h are positive integers. They are obtained by a
generalization of standard and monic Chebyshev polynomials of the first and
second kinds. This generalization is fulfilled in two directions. The
horizontal generalization is made by introducing hyperkind h and expanding it
to infinity. The vertical generalization proposes expanding kind k to infinity
with the help of the method of equidistant coefficients. Some connections of
these polynomials with the Alexander knot and link polynomial invariants are
investigated.
