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KIAM Preprint № 70, Moscow, 2012
Authors: Aptekarev A. I., Tulyakov D. N.
Asymptotics of Lp-norms of Hermite polynomials
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.
Asymptotical analysis, orthogonal polynomials, information entropy
Publication language: english,  pages: 22
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Aptekarev Alexander Ivanovich, RAS
  • Tulyakov Dmitriy Nikolaevich,  KIAM RAS