English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We give elementary derivations of some classical summation formulae for bilateral (basic) hypergeometric series. In particular, we apply Gauss' 2F1 summation and elementary series manipulations to give a simple proof of Dougall's 2 H 2 summation. Similarly, we apply Rogers' nonterminating 6o5 summation and elementary series manipulations to give a simple proof of Bailey's very-well-poised 6ψ6 summation. Our method of proof extends M. Jackson's first elementary proof of Ramanujan's 1ψ1 summation.

A simple proof of Bailey’s very-well-poised ₆𝜓₆ summation