On the spacings between the successive zeros of the Laguerre polynomials Auteur(s): Chretien Stephane, Darses S.
Ref HAL: hal-01270829_v1 Ref Arxiv: 1402.6603 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote Résumé: We propose a simple uniform lower bound on the spacings between the successive zeros of the Laguerre polynomials $L_n^{(\alpha)}$ for all $\alpha>-1$. Our bound is sharp regarding the order of dependency on $n$ and $\alpha$ in various ranges. In particular, we recover the orders given in \cite{ahmed} for $\alpha \in (-1,1]$. Commentaires: This version proposes an improved bound and more comparisons with previous works |