%0 Journal Article
%T On the spacings between the successive zeros of the Laguerre polynomials
%+ Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB)
%+ Institut de Mathématiques de Marseille (I2M)
%A Chretien, Stephane
%A Darses, Sebastien
%Z This version proposes an improved bound and more comparisons with previous works
%< avec comité de lecture
%@ 0002-9939
%J Proceedings of the American Mathematical Society
%I American Mathematical Society
%8 2015-10
%D 2015
%Z 1402.6603
%Z Mathematics [math]/General Mathematics [math.GM]Journal articles
%X 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 $\alpha \in (-1,1]$.
%G English
%L hal-01270829
%U https://hal.science/hal-01270829
%~ CNRS
%~ UNIV-AMU
%~ UNIV-FCOMTE
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ LMB