KIAM Main page Web Library  •  Publication Searh  Русский 
Publication

KIAM Preprint № 70, Moscow, 2012
Authors: Aptekarev A. I., Tulyakov D. N.
Asymptotics of Lp-norms of Hermite polynomials
Abstract:
The asymptotic of the weighted Lp-norms of Hermite polynomials is determined for n→∞ and p>0. The result is motivated by calculations the Rényi entropy of the quantum-mechanical probability density of the highly-excited (Rydberg) states of the isotropic oscillator.
Keywords:
Asymptotical analysis, orthogonal polynomials, information entropy
Publication language: english,  pages: 22
Research direction:
Mathematical problems and theory of numerical methods
English source text:
List of publications citation:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 3 (+0), total hit from 01.09.2019 — 153
About authors:
  • Aptekarev Alexander Ivanovich,  aptekaa@keldysh.ruorcid.org/0000-0003-2777-3903KIAM RAS
  • Tulyakov Dmitriy Nikolaevich,  dntulyakov@gmail.comKIAM RAS