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 are interested in irrationality of roots for seven important families ofpolynomials : Tchebichef polynomials, Legendre polynomials, Laguerrepolynomials, Hermite polynomials, Bessel polynomials, Bernoulli polynomials andEuler polynomials. One first proves, for the most part of them, existence ofreal roots then one studies the irrationality of them. The methods used arebased on elementary arithmetical properties of algebraic numbers, some of thembecoming from more general proofs that have allowed to derive theirreducibility of some of these polynomials.

Sur l'irrationalit\'e des racines de certaines familles de polyn\^omes