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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Publication Details

Journal
Symmetry Integrability and Geometry Methods and Applications
Published
2024-11-19
DOI
https://doi.org/10.3842/sigma.2024.103
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00

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article

Rogers-Ramanujan Type Identities Involving Double Sums

Dandan Chen, Siyu Yin
Symmetry Integrability and Geometry Methods and Applications
Advanced Mathematical Identities
article

Rogers-Ramanujan Type Identities Involving Double Sums

Dandan Chen, Siyu Yin
article en

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.

Symmetry Integrability and Geometry Methods and Applications
National Natural Science Foundation of China
Reduced inequalities
Openalex Percentile: Top 62%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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Rogers-Ramanujan Type Identities Involving Double Sums — Dandan Chen, Siyu Yin · Symmetry Integrability and Geometry Methods and Applications (2024) | TGRS Research Map | TGRS