Michael J. Schlosser
Bilateral identities of the Rogers-Ramanujan type
(22 pages)
Abstract.
We derive by analytic means a number of bilateral identities of the
Rogers-Ramanujan type.
Our results include bilateral extensions of the Rogers-Ramanujan
and the Göllnitz--Gordon identities, and of related identities
by Ramanujan, Jackson, and Slater.
We give corresponding results for multisums including multilateral
extensions of the Andrews-Gordon identities, of the Andrews-Bressoud
generalization of the Göllnitz-Gordon identities, of
Bressoud's even modulus identities, and other identities.
Our closed form bilateral and multilateral
summations appear to be the very first of their kind.
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