Rogers-Ramanujan Type Identities Involving Double Sums

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Chen, Dandan, Yin, Siyu
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212789
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rogers-Ramanujan Type Identities Involving Double Sums. Dandan Chen and Siyu Yin. SIGMA 20 (2024), 103, 6 pages

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.