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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We develop general criteria that ensure that any non-zero solution of a givensecond-order difference equation is differentially transcendental, which applyuniformly in particular cases of interest, such as shift difference equations,q-dilation difference equations, Mahler difference equations, and ellipticdifference equations. These criteria are obtained as an application ofdifferential Galois theory for difference equations. We apply our criteria toprove a new result to the effect that most elliptic hypergeometric functionsare differentially transcendental.

Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions