The -identity
was found by Rogers (1894) and appears as formula 61 in the list of Slater (1952).
The -
and -identities
were found by Rogers (1917) and appeared as formulas 60 and 59 respectively in Slater
(1952).

Mc Laughlin, J.; Sills, A. V.; and Zimmer, P. "Dynamic Survey DS15: Rogers-Ramanujan-Slater Type Identities." Electronic J. Combinatorics,
DS15, 1-59, May 31, 2008. http://www.combinatorics.org/Surveys/ds15.pdf.Rogers,
L. J. "Second Memoir on the Expansion of Certain Infinite Products."
Proc. London Math. Soc.25, 318-343, 1894.Rogers, L. J.
"On Two Theorems of Combinatory Analysis and Some Allied Identities." Proc.
London Math. Soc.16, 315-336, 1917.Slater, L. J. "Further
Identities of the Rogers-Ramanujan Type." Proc. London Math. Soc. Ser. 254,
147-167, 1952.