Bilateral identities of the Rogers–Ramanujan type
Open Access
- 24 August 2023
- journal article
- research article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society, Series B
- Vol. 10 (31) , 1119-1140
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.Keywords
Funding Information
- Austrian Science Fund (F580-08)
- Austrian Science Fund (P32305)
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