English

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

Number Theory 2019-01-07 v1

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.

Keywords

Cite

@article{arxiv.1901.00951,
  title  = {Some identities between basic hypergeometric series deriving from a new Bailey-type transformation},
  author = {James Mc Laughlin and Peter Zimmer},
  journal= {arXiv preprint arXiv:1901.00951},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T07:02:45.811Z