  Resorting to the recursions satisfied by the polynomials which converge to
the right hand sides of the Rogers-Ramanujan type identities given by Sills and
a determinant method presented in a paper by Ismail-Prodinger-Stanton, we
obtain many new one-parameter generalizations of the Rogers-Ramanujan type
identities, such as a generalization of the analytic versions of the first and
second G\"{o}llnitz-Gordon partition identities, and generalizations of the
first, second, and third Rogers-Selberg identities.
