# Some identities between basic hypergeometric series deriving from a new Bailey-type transformation

## TL;DR

This paper introduces a new Bailey-type transformation for WP-Bailey pairs, enabling the derivation of novel transformation formulas between basic hypergeometric series, expanding the toolkit for hypergeometric series analysis.

## Contribution

It presents a new Bailey-type transformation for WP-Bailey pairs and derives multiple new transformation formulas for basic hypergeometric series.

## Key findings

- New Bailey-type transformation relating WP-Bailey pairs
- Derived several new 3- and 4-term transformation formulas
- Enhanced understanding of identities between basic hypergeometric series

## Abstract

We prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transformation to derive a number of new 3- and 4-term transformation formulae between basic hypergeometric series.