New Rogers–Ramanujan-type identities via contour integrals
The Rogers–Ramanujan identities have motivated extensive research into similar results. In this paper, we employ the integral method and transformation formulae for hypergeometric series to establish multi-sum Rogers–Ramanujan identities, both with and without parameters.
Authors
- Chen-Yang Su
- Su-Ping Cui
Institutions
- Tianjin Normal University (CN)
- Qufu Normal University (CN)
Publication Details
- Journal
- International Journal of Number Theory
- Published
- 2025-10-08
- DOI
- https://doi.org/10.1142/s1793042126500259
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00