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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