In a recent paper, Frechette and Locus examined and found expressions for the infinite product
in terms of
products of
-series
of the Rogers–Ramanujan type coming from Hall–Littlewood polynomials, when
. These
-series
were originally discovered in 2014 by Griffin, Ono, and Warnaar in their
work on the framework of the Rogers–Ramanujan identities. Extending
this framework, Rains and Warnaar also recently discovered more
-series
and their corresponding infinite products. Frechette and Locus left open the case where
.
Here we find such an expression for the infinite products for
by making use of
the new
-series
obtained by Rains and Warnaar.
