# Identities of the Rogers--Ramanujan--Bailey Type

## TL;DR

This paper introduces a multiparameter generalization of Bailey pairs, unifying previous identities and deriving new Rogers-Ramanujan type identities with elegant mathematical structures.

## Contribution

It presents a novel multiparameter framework for Bailey pairs, encompassing all previous cases and enabling the derivation of new identities.

## Key findings

- Unified framework for Bailey pairs
- New Rogers-Ramanujan type identities derived
- Enhanced understanding of identities of Rogers-Ramanujan type

## Abstract

A multiparameter generalization of the Bailey pair is defined in such a way as to include as special cases all Bailey pairs considered by W. N. Bailey in his paper, "Identities of the Rogers-Ramanujan type," [Proc. London Math. Soc. (2), 50 (1949), 421--435]. This leads to the derivation of a number of elegant new Rogers-Ramanujan type identities.