Dandan Chen, Siyu Yin, “Rogers–Ramanujan Type Identities Involving Double Sums”, SIGMA, 2024, Volume 20,103, 6 pp.

Rogers–Ramanujan Type Identities Involving Double Sums

Dandan Chen^ab, Siyu Yin^b

^a Newtouch Center for Mathematics, Shanghai University, P.R. China
^b Department of Mathematics, Shanghai University, P.R. China

Abstract: We prove four new Rogers–Ramanujan-type identities for double series. They follow from the classical Rogers–Ramanujan identities using the constant term method and properties of Rogers–Szegő polynomials.

Keywords: Rogers–Ramanujan type identities, sum-product identities, constant term method.

MSC: 11P84, 33D15

Received: August 2, 2024; in final form November 13, 2024; Published online November 19, 2024

Language: English

DOI: 10.3842/SIGMA.2024.103