Rogers-Ramanujan type identities involving double sums
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.00377
- arXiv:
- arXiv:2408.00377
- Bibcode:
- 2024arXiv240800377C
- Keywords:
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- Mathematics - Number Theory