  In the present paper the authors show that an iteration of the
$\mathscr{L}_{2}$-transform by itself is a constant multiple of the Glasser
transform. Using this iteration identity, a Parseval-Goldstein type theorem for
$\mathscr{L}_{2}$-transform and the Glasser transform is given. By making use
of these results a number of new Parseval-Goldstein type identities are
obtained for these and many other well-known integral transforms. The
identities proven in this paper are shown to give rise to useful corollaries
for evaluating infinite integrals of special functions. Some examples are also
given as illustration of the results presented here.

Classical Analysis and ODEs