  Generalized Pascal matrix whose elements are generalized binomial
coefficients is included in the group of generalized Riordan arrays. There is a
special set of generalized Riordan arrays defined by parameter $q$. If $q=0$,
they are ordinary Riordan arrays, if $q=1$, they are exponential Riordan
arrays. In other cases, except $q=-1$, they are arrays associated with the
$q$-binomial coefficients as well as the exponential Riordan arrays are
associated with the ordinary binomial coefficients. Case $q=-1$ does not fit
into the concept of generalized Riordan arrays, but it is necessary to expand
for it. Introduced a special class of matrices, each of which is a limiting
case of a certain set of generalized Pascal matrices. It is shown that every
such matrix included in the matrix group similar to the generalized Riordan
group.
