Multidimensional Rogers-Ramanujan type identities with parameters
Combinatorics
2024-08-29 v3
Abstract
Via the contour integral method, we establish a reduction formula from a double series to a single series with parameters, which not only implies Uncu and Zudilin's two results and Cao and Wang's two results, but also is related to Berkovich and Warnaar's equation. Similarly, we also discover some triple-sum generalizations of Cao and Wang's formulas. As conclusions, several multidimensional Rogers--Ramanujan type identities with parameters or without parameters are given.
Keywords
Cite
@article{arxiv.2302.00357,
title = {Multidimensional Rogers-Ramanujan type identities with parameters},
author = {Chuanan Wei and Yuanbo Yu and Guozhu Ruan},
journal= {arXiv preprint arXiv:2302.00357},
year = {2024}
}