Rogers-Ramanujan Type Identities Involving Double Sums
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.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212789 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Rogers-Ramanujan Type Identities Involving Double Sums. Dandan Chen and Siyu Yin. SIGMA 20 (2024), 103, 6 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862639574408232960 |
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| author | Chen, Dandan Yin, Siyu |
| author_facet | Chen, Dandan Yin, Siyu |
| citation_txt | Rogers-Ramanujan Type Identities Involving Double Sums. Dandan Chen and Siyu Yin. SIGMA 20 (2024), 103, 6 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-15T04:43:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212789 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T04:43:56Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chen, Dandan Yin, Siyu 2026-02-11T10:40:09Z 2024 Rogers-Ramanujan Type Identities Involving Double Sums. Dandan Chen and Siyu Yin. SIGMA 20 (2024), 103, 6 pages 1815-0659 2020 Mathematics Subject Classification: 11P84; 33D15 arXiv:2408.00377 https://nasplib.isofts.kiev.ua/handle/123456789/212789 https://doi.org/10.3842/SIGMA.2024.103 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. We are grateful to the referees and the editors for their helpful comments and suggestions. We thank Warnaar for some valuable comments, especially for bringing the work [3] to our attention. The first author was supported in part by the National Natural Science Foundation of China (Grant No. 12201387). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Rogers-Ramanujan Type Identities Involving Double Sums Article published earlier |
| spellingShingle | Rogers-Ramanujan Type Identities Involving Double Sums Chen, Dandan Yin, Siyu |
| title | Rogers-Ramanujan Type Identities Involving Double Sums |
| title_full | Rogers-Ramanujan Type Identities Involving Double Sums |
| title_fullStr | Rogers-Ramanujan Type Identities Involving Double Sums |
| title_full_unstemmed | Rogers-Ramanujan Type Identities Involving Double Sums |
| title_short | Rogers-Ramanujan Type Identities Involving Double Sums |
| title_sort | rogers-ramanujan type identities involving double sums |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212789 |
| work_keys_str_mv | AT chendandan rogersramanujantypeidentitiesinvolvingdoublesums AT yinsiyu rogersramanujantypeidentitiesinvolvingdoublesums |